Dark energy, dark matter and the Chaplygin gas
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高三宇宙奥秘英语阅读理解30题1<背景文章>Black holes are one of the most fascinating and mysterious phenomena in the universe. A black hole is formed when a massive star collapses at the end of its life. The gravitational pull of a black hole is so strong that nothing, not even light, can escape from it.The formation of a black hole begins with the collapse of a massive star. As the star runs out of fuel, it can no longer support its own weight and begins to collapse. The collapse continues until the star reaches a critical density, at which point it becomes a black hole.Black holes have several unique characteristics. One of the most notable is their event horizon, which is the boundary beyond which nothing can escape. Another characteristic is their intense gravitational field, which can distort the space and time around them.Black holes can have a significant impact on the surrounding celestial bodies. They can attract and swallow nearby stars and planets, and their gravitational pull can also affect the orbits of other celestial bodies.Scientists are still working to understand black holes better. They use a variety of tools and techniques, such as telescopes and computer simulations, to study these mysterious objects. Despite significant progressin recent years, there is still much that we don't know about black holes.1. What is a black hole formed by?A. A small star collapsing.B. A massive star collapsing.C. A planet collapsing.D. A moon collapsing.答案:B。
The mysteries of the universe DarkmatterDark matter is one of the most intriguing and perplexing mysteries of the universe. It is a substance that makes up about 27% of the universe, yet it cannot be seen or detected directly. Scientists have been studying dark matter for decades, trying to understand its properties and how it interacts with the rest of the universe. Despite numerous experiments and observations, dark matter continues to elude detection, leaving scientists with more questions than answers. One of the main reasons why dark matter is so elusive is because it does not emit, absorb, or reflect any electromagnetic radiation, such as light. This means that it cannot be observed using traditional telescopes or other instruments that rely on detecting light. Instead, scientists have to rely on indirect methods, such as studying the gravitational effects of dark matter on visible matter, to infer its presence. This has made the study of dark matter incredibly challenging, as its properties remain largely unknown. The existence of dark matter was first proposed in the 1930s by Swiss astronomer Fritz Zwicky, who noticed discrepanciesin the velocities of galaxies within galaxy clusters. Zwicky observed that the visible matter in the clusters was not enough to account for the gravitational forces holding the galaxies together. He hypothesized that there must be some form of invisible matter, which he called "dunkle Materie" or dark matter, that was responsible for the missing mass. Since then, numerous studies and observations have provided evidence for the existence of dark matter, but its exact nature remains a mystery. One of the leading theories about dark matter is that it is made up of a new type of elementary particle that does not interact with electromagnetic forces. These particles, known as weakly interacting massive particles (WIMPs), are thought to only interact with gravity and the weak nuclear force, making them extremely difficult to detect. Scientists have been conducting experiments in deep underground laboratories and using sophisticated detectors to try to capture these elusive particles, but so far, no direct evidence of dark matter particles has been found. Another theory about dark matter is that itcould be composed of primordial black holes, which are small, dense objects thatformed in the early universe. These black holes would be invisible to telescopes but could still exert gravitational effects on visible matter. While this theory is less favored than the WIMP hypothesis, it is still being considered as a possible explanation for dark matter. Despite the lack of direct evidence, the presence of dark matter is crucial for our understanding of the universe. Without dark matter, galaxies would not have enough mass to hold themselves together, and the universe would look very different from what we observe today. Dark matter plays a vital role in shaping the large-scale structure of the universe, influencing the distribution of galaxies and the formation of galaxy clusters. Understanding dark matter is essential for our understanding of the universe's past, present, and future. In conclusion, dark matter remains one of the most enigmatic and challenging mysteries of the universe. Despite decades of research and numerous experiments, scientists have yet to directly detect this elusive substance. The study of dark matter continues to push the boundaries of our knowledge and understanding of the cosmos, forcing us to rethink our fundamental assumptions about the nature of the universe. As technology advances and new experiments are conducted, we may one day unlock the secrets of dark matter and unravel its mysteries. Until then, dark matter will continue to intrigue and fascinate scientists and laypeople alike, as we strive to uncover the hidden truths of the universe.。
a r X i v :h e p -p h /0503120v 1 14 M a r 2005Possible Effects of Dark Energy on the Detection of Dark MatterParticlesPeihong Gu,1Xiao-Jun Bi,2Zhi-Hai Lin,1and Xinmin Zhang 11Institute of High Energy Physics,Chinese Academy of Sciences,P.O.Box 918-4,Beijing 100049,P.R.China2Key laboratory of particle astrophysics,Institute of High Energy Physics,Chinese Academy of Sciences,P.O.Box 918-3,Beijing 100049,P.R.China (Dated:February 2,2008)Abstract We study in this paper the possible influence of the dark energy on the detection of the dark matter particles.In models of dark energy described by a dynamical scalar field such as the Quintessence,its interaction with the dark matter will cause the dark matter particles such as the neutralino vary as a function of space and time.Given a specific model of the Quintessence and its interaction in this paper we calculate numerically the corrections to the neutralino masses and the induced spectrum of the neutrinos from the annihilation of the neutralinos pairs in the core of the Sun.This study gives rise to a possibility of probing for dark energy in the experiments of detecting the dark matter particles.Recent observational data from supernovae(SN)Ia[1]and cosmic microwave background radiation(CMBR)[2]strongly support for the‘cosmic concordance’model,in which the Universe is spatiallyflat with4%baryon matter,23%of cold dark matter(DM)and 73%of dark energy(DE).The baryon matter is well described by the standard model of the particle physics,however the nature of the dark matter and the dark energy remains unknown.There have been many proposals in the literature for the dark matter candidates the-oretically.From the point of view of the particle physics,the leading candidates for cold dark matter are the axion and the neutralino.Various experiments in the search directly or indirectly for these dark matter particles are currently under way.Regarding dark energy,the simplest candidate seems to be a remnant small cosmological constant.However,many physicists are attracted by the idea that dark energy is due to a dynamical component,such as a canonical scalarfield Q,named Quintessence[3].Being a dynamical component,the scalarfield of the dark energy is expected to interact with the other matters[4].There are many discussions on the explicit couplings of quintessence to baryons,dark matter,photons and neutrinos.These interactions if exist will open up the possibilities of probing non-gravitationally for the dark energy.In this paper we consider the possible effects of the dark energy models which interact with the dark matter in the detection of the dark matter particles.Specifically we will study the influence of the dark energy on the neutralino masses in the Sun,and then calculate the neutrino spectrum annihilated from the neutralino pairs in the core of the Sun.We start with a coupled system of the interacting dark energy and the dark matter with the Lagrangian generally given byL eff=L DM+Lφ+L int,(1)where L DM and Lφare the free Lagrangian for dark matter and dark energy and the inter-action part is given byL int=−12M2S(φ)S2−gχΛ∂µφ¯ψγµψ−g SΛφ∂µφ∂µS− g isuch as the neutralino to be the dark matter particle and focus on the interactions which affect the dark matter particles via the mass terms.Being a function of the quintessence scalarφthe mass of the dark matter particle will vary during the evolution of the universe.As shown in Refs.[5,6,7]this helps solve the coincidence problem.Furthermore,this type of interactions will affect the cosmic structure formation[8],and the power spectrum of CMB[9].In this paper we will present a new possible effect of the interacting dark energy with the dark matter in the detection of the dark matter particles.There are in general two different ways,direct and indirect,in the detections of the dark matter particles.The direct detection records the recoil energy of the detector nuclei when the dark matter particles scatter offthem as they pass through the Earth and interact with the matter.The indirect detection observes the annihilation products by the dark matter particles.Obviously the expected detection rates depend on the mass of the dark matter particles.In the presence of the interaction the mass of the dark matter particle will vary as a function of time and also space,and consequently the dark energy will influence the detection.To determine the mass of neutralino as a function of space we need to know the value of the dark energy scalarfield as a function of space.Taking into account the back reaction of the interaction between the dark matter and the dark energy the effective potential of the dark energy scalar as a function of the energy density of the cold dark matterρχ(φ)is given byV eff=ρχ(φ)+V(φ).(3) For different dark matter densities the values of dark energy scalarfield are expected to be different,and consequently the mass of dark matter particles will also be different.For example,the mass of the dark matter particle in the center of the Milky Way could be different from that in the halo near the solar system.Therefore,the gamma ray spectrum, or the synchrotron radiation spectrum,from the galactic center could be different from that in the nearby halo.Especially for the neutralino dark matter particle its mass measured at the future linear collider(LC)or the large hadron collider(LHC)on the Earth may be different from that measured in other places in the Milky Way,such as in the galactic center.Similarly,the spectrum of the dark matter radiation in the Milky Way might also be different from other galaxies in the local group.In the following we will consider a specific model of the Quintessence and its interaction with the dark matter particle,the neutralino,and then study its effects on the indirect detection via the process of the neutralinos annihilation into neutrinos.The dark energy potential which we take isV(φ)=V0eβφ/m p,(4) and the interaction between the dark energy and the dark matter particle are given byMχ(φ)=Mχ0 1+λχφ(y q¯Q L Hq R).(6)m pThe parameterλB above characterizing the strength of this type of interaction will be shown below to be strongly constrained.However,since the baryon density inside the Sun is much higher than any other matter densities,this interaction in Eq.(6)will be important to our study in this paper as well as that on the neutrino oscillations[14,17,18].The Eq.(5)shows that the mass of the dark matter particles varies during the evolution of the Universe.At the present time the mass of the neutralino dark matter particle is given by Eq.(5)with the scalarfieldφevaluated at the present timeφ0.This type of physics associated with the mass varying dark matter particles have been proposed and studied in the literature[6,9,19],but in these studies the masses of the dark matter particle are constant in space.In this paper we consider the case that neutralino masses vary as afunction of space,for instance the neutralino mass in the Sun differs from that evaluated on the cosmological scale.The effective potential of the dark energy scalar at the inner of the Sun or the Earth is given byV eff =ρB (φ)+ρχ(φ)+V (φ),(7)where ρB (φ)is the mass density of the baryon matter and ρχ(φ)=n χM χ(φ).Here it’s straightforward to obtain ρB (φ)=ρB 0−λB ρB 0φdφφ=φmin=0.(8)The contributions to the equation above from the dark matter and baryon are proportional to λB ρB and λχρχrespectively.Sincethe ρχis about 15orders of magnitude smaller than ρB in the core of the Sun [20],the influence of the dark matter on the effective potential of the dark energy scalar can be safely ignored ifλB ≫λχρχβln λB ρBM cos χ=1+λχβV 0m p .(11)In Eq.(11)φ0is the cosmological value of the scalar field at the present time.To satisfy the cosmological observations on the dark energy our numerical results show that φ0=−0.51m p ,V 0=4.2×10−47GeV 4and β=1and λχ=0.1which we have mentioned above.10-510-410-310-210-1100200300400500600700800900E µ(GeV)ΦµM χ=170GeV M χ=1TeVFIG.1:Spectra of the muons induced by the neutrinos from the annihilation of the neutralino dark matter particles in the core of the Sun with m χ=1TeV and in the cosmological scale with m χ=170GeV.The spectra are normalized at 10GeV and calculated by using the DarkSUSY package [23].The baryon energy density of the Sun ρ⊙B is about 2.5g/cm 3.However due to thelogarithm in Eq.(10),the effect on the dark matter mass is insensitive to the baryon mass density ρB .For example,the baryon density in the Sun ρ⊙B is about a quarter of that inthe Earth,which causes that M ⊙χis about 2%smaller than the value at the Earth in ournumerical calculation for λB =10−9.The parameter λB is constrained by the tests on the gravitational inverse square law [21]and the tests on the equivalence principle [22]to be λB <∼O (10−2).Here we point out that the presence of the interaction of the dark energy with the baryon in Eq.(6)makes the baryon mass density also varyδρBρB =−λB βV 0.(12)If taking ρB (φmin )to be the baryon density in the Earth (which is similar to the baryon density of the Sun),δρB (φmin )indicates the correction of the dark energy to baryon mass in the Earth.The proton mass has been measured very precisely on the Earth with an error of 10−8.If we take as an example that δρB /ρB <10−8we obtain an upper limit on λB ,λB <10−9,which we use in the numerical calculation.Now we have φmin ≃49m p and consequently M ⊙χ/M cos χ≃6.In Fig.1we plot the muonspectra induced by the neutrino from the dark matter annihilation in the center of the Sun and in the cosmological scale.We choose the dark matter mass in the Sun to be1TeV, while the dark matter mass in the cosmological scale is about1TeV/6=170GeV.From the figure one can see clearly the difference in the neutrino spectra.On the cosmological scale the dark energy scalar is homogeneously distributed,however in this case it is inhomogeneous,which gives rise to energy densityρφin the Sun.From Eqs.(4)and(10)we haveρφρB =λB[4]See,for example,X.Zhang,Plenary talk at12th International Conference on Supersymmetryand Unification of Fundamental Interactions(SUSY04),Tsukuba,Japan,17-23Jun2004, hep-ph/0410292,and references therein.[5] elli,M.Pietroni,and A.Riotto,Phys.Lett.B571,115(2003).[6]U.Franca and R.Rosenfeld,Phys.Rev.D69,063517(2004).[7]X.J.Bi,B.Feng,H.Li,and X.Zhang,hep-ph/0412002.[8]Adi Nusser,S.S.Gubser,and P.J.E.Peebles,astro-ph/0412586.[9]M.B.Hoffman,astro-ph/0307350.[10]P.Q.Hung,hep-ph/0010126.This paper is on the interaction between the quintessence andthe sterile neutrinos.[11]P.Gu,X.Wang,and X.Zhang,Phys.Rev.D68,087301(2003).[12]R.Fardon,A.E.Nelson,and N.Weiner,astro-ph/0309800.[13]P.Q.Hung and H.Pas,astro-ph/0311131.[14] D.B.Kaplan,A.E.Nelson,and N.Weiner,Phys.Rev.Lett.93,091801(2004).[15]R.D.Peccei,Phys.Rev.D71,023527(2005);Nucl.Phys.Proc.Suppl.137,277(2004).[16]X.Zhang,hep-ph/0410292;H.Li,Z.Dai,and X.Zhang,hep-ph/0411228.[17] E.I.Guendelman and A.B.Kaganovich,hep-th/0411188.[18]V.Barger,P.Huber,and D.Marfatia,hep-ph/0502196.[19]G.W.Anderson and S.M.Carroll,astro-ph/9711288;G.R.Farrar and P.J.E.Peebles,Astro-phys.J.604,1(2004).[20]G.Bertone,D.Hooper,and J.Silk,Phys.Rept.405,279(2005).[21] E.G.Adelberger,B.R.Heckel,and A.E.Nelson,Annu.Rev.Nucl.Part.Sci.53,77(2003).[22]Y.Su et.al.,Phys.Rev.D50,3614(1994);G.L.Smith et.al.,Phys.Rev.D61,022001(2000).[23]P.Gondolo et.al.,JCAP0407,008(2004).。
想要了解的事物英语作文There are so many things in this world that I want to understand better. From the smallest particles that make up the universe to the grandest mysteries of the cosmos, the sheer vastness of human knowledge and the unknown is both humbling and exhilarating. Every day, new discoveries are being made that expand the boundaries of what we know, and I find myself constantly in awe of the incredible complexity and beauty of our reality.One of the areas I'm most fascinated by is the field of quantum physics. The counterintuitive behaviors of subatomic particles, like the fact that they can exist in multiple states simultaneously, have always captivated me. I would love to gain a deeper understanding of concepts like quantum entanglement, wave-particle duality, and the uncertainty principle. How can particles that are separated by vast distances instantly influence each other? What is the true nature of reality at the most fundamental level? These are the kinds of questions that keep me up at night, pondering the very fabric of existence.At the same time, I'm also deeply interested in the workings of the human mind and consciousness. How do our brains process information and give rise to the rich inner experience of thoughts, emotions, and sensations? What is the relationship between the physical brain and the subjective self? The field of neuroscience has made incredible strides in mapping the neural pathways and mechanisms underlying various cognitive functions, but there is still so much we don't understand about the emergent phenomenon of consciousness.I'm also endlessly curious about the origins and evolution of life on our planet. How did the first self-replicating molecules arise from the primordial soup, and what were the key evolutionary steps that led to the incredible diversity of life we see today? What are the fundamental principles and mechanisms that drive the evolution of species, and how do they interact with the ever-changing environment? The more I learn about biology and the history of life, the more I realize how little we truly know about the origins and mechanics of the living world.Another area that fascinates me is the vastness of the cosmos and our place within it. The scale of the universe, with its billions of galaxies separated by unimaginable distances, is almost incomprehensible to the human mind. What is the true nature of space and time? How did the universe begin, and what is its ultimatefate? Will we ever unravel the mysteries of dark matter and dark energy, the enigmatic components that seem to make up the majority of the universe? The more we learn, the more questions arise, and I'm driven to understand our place in this grand cosmic tapestry.Of course, there are also countless aspects of the human experience that I wish I could understand better. What are the roots of human behavior, and how do our evolutionary and cultural histories shape the way we think and act? How do we form meaningful connections with others, and what are the psychological and neurological underpinnings of love, empathy, and social bonds? What is the nature of consciousness, and how do subjective experiences emerge from the physical brain? These are the kinds of deep, existential questions that captivate me and drive my curiosity.Ultimately, I believe that the pursuit of knowledge and understanding is one of the most noble and rewarding endeavors a human being can undertake. The more we learn about the world and the universe around us, the more we realize how much we still have to discover. And with each new insight, we gain a deeper appreciation for the incredible complexity and beauty of our reality. It is a never-ending journey of exploration and discovery, and I am honored to be a part of it. There is simply so much I want tounderstand, and I can't wait to continue on this wondrous path of learning and growth.。
关于mysteries的英语作文Title: The Enigma of Mysteries.In the vast expanse of human existence, mysteries have always been an integral part of our lives. They are the unknown forces, the unexplained phenomena, and theenigmatic secrets that captivate our imaginations andprompt us to delve deeper into the recesses of the unknown. Mysteries have existed throughout history, across cultures, and in every sphere of human endeavour. They are as old as civilization itself and continue to fascinate us even inthe age of advanced technology and scientific understanding.The allure of mysteries lies in their nature of being both intriguing and perplexing. They are the puzzles that challenge our intellectual capabilities and push the boundaries of our understanding. They are the voids in the fabric of reality that beg for explanation, yet oftenremain enigmatic even in the face of the most diligent investigation.One of the oldest and most enduring mysteries is the question of the origin of life itself. How did the complex machinery of life emerge from the primordial soup of chemicals? How did the first cells come to be, and how did they evolve into the diverse array of organisms we see today? This mystery is compounded by the equally enigmatic question of consciousness how does the brain, a collection of neurons and synapses, give rise to the subjective experience of being alive?Another enduring mystery is the question of the universe's origin and ultimate fate. How did the universe begin with a cataclysmic event known as the Big Bang, and what lies beyond its expanding boundaries? What is the nature of dark matter and dark energy, the mysterious forces that seem to shape the universe's destiny? And what will become of the universe in the distant future will it continue to expand indefinitely, or will it collapse in upon itself in a cataclysmic end?Mysteries also abound in the realm of human history andculture. The ancient civilizations of Egypt, Mesopotamia, and Peru, with their monumental temples and intricate hieroglyphics, are repositories of secrets that have perplexed scholars for centuries. The lost cities of Atlantis and Mu, and the enigmatic legends of El Dorado and the Fountain of Youth, continue to captivate the imaginations of adventurers and explorers.The human mind itself is a mystery. How does the brain process information, store memories, and generate thoughts and emotions? Why do we dream, and what do our dreams reveal about the inner workings of the mind? The study of neuroscience and psychology has yielded valuable insights into these questions, but the mysteries of the mind remain as elusive as ever.In the realm of science, there are mysteries that challenge our understanding of the fundamental laws of nature. Quantum mechanics, with its paradoxical nature and counterintuitive predictions, has been described as the "mystery of mysteries" by some physicists. The enigmatic properties of quantum particles, such as superposition andentanglement, have defied our classical understanding of reality and continue to baffle even the most seasoned scientists.The enduring appeal of mysteries lies in theirpotential to reveal deeper truths about the universe and ourselves. They are the gaps in our knowledge that drive us to explore, to question, and to seek answers. They are the engines of scientific inquiry and human progress. And while some mysteries may never be fully resolved, the pursuit of knowledge and understanding remains an essential part of our human nature.In conclusion, mysteries are an integral part of human existence, and their enigma continues to captivate us. They challenge our understanding, prompt us to inquire, and drive us to explore. As we delve deeper into the recesses of the unknown, we not only gain new insights into the universe and ourselves, but we also honour the enduring spirit of curiosity and wonder that is unique to the human species.。
黑暗物质高中英语Dark Matter: An Enigma in the CosmosThe universe is a vast and mysterious expanse, filled with countless celestial bodies, each with its own unique story to tell. Among the many wonders that captivate the scientific community, one stands out as a true enigma: dark matter. This elusive and perplexing phenomenon has been the subject of intense research and speculation for decades, as scientists strive to unravel its secrets and understand its role in shaping the very fabric of the universe.At its core, dark matter is a hypothetical form of matter that cannot be directly observed, yet its existence is inferred from its gravitational effects on the visible matter and the structure of the universe. Unlike the familiar matter that makes up the stars, planets, and the very world we inhabit, dark matter does not interact with electromagnetic radiation, rendering it invisible to our telescopes and other instruments. It is this very property that has made it so challenging to study and understand.The first inklings of dark matter's existence can be traced back to the early 20th century, when Swiss astronomer Fritz Zwicky observed themotion of galaxies within the Coma Cluster. He noticed that the galaxies were moving at much higher speeds than expected, suggesting the presence of a significant amount of unseen mass holding the cluster together. This observation laid the foundation for the concept of dark matter, though it would take decades before the scientific community fully embraced the idea.As our understanding of the universe has evolved, the evidence for dark matter has become increasingly compelling. Observations of the cosmic microwave background radiation, the leftover glow from the Big Bang, have revealed intricate patterns that can only be explained by the presence of a substantial amount of dark matter. Additionally, gravitational lensing, the bending of light by massive objects, has provided further confirmation of dark matter's existence, as the observed lensing effects are far greater than can be accounted for by visible matter alone.Despite the overwhelming evidence, the nature of dark matter remains elusive. Scientists have proposed numerous theories to explain its composition, ranging from exotic subatomic particles to modifications of our understanding of gravity. The search for dark matter particles, such as weakly interacting massive particles (WIMPs) and axions, has become a major focus of particle physics research, with scientists around the world employing sophisticated detectors and experiments in an attempt to directly observe these elusiveentities.One of the most intriguing aspects of dark matter is its role in the formation and evolution of the universe. Cosmological models suggest that dark matter was a crucial component in the early stages of the universe, providing the gravitational scaffolding upon which the first structures, such as galaxies and galaxy clusters, were able to form. Without the stabilizing influence of dark matter, the universe as we know it may have never come into being.As researchers continue to delve deeper into the mysteries of dark matter, they are also confronted with the broader implications of its existence. The discovery of dark matter has challenged our understanding of the fundamental laws of physics, forcing us to re-examine our theories and potentially pave the way for revolutionary new insights. The search for dark matter has also sparked the imagination of the public, captivating the minds of scientists and science enthusiasts alike, as they collectively strive to unravel one of the greatest unsolved puzzles of our time.In the pursuit of understanding dark matter, scientists have employed a wide range of cutting-edge technologies and techniques. From the construction of massive underground detectors designedto capture the faint signals of dark matter particles, to the development of sophisticated computer simulations that model thebehavior of dark matter on cosmic scales, the quest to unlock the secrets of this elusive substance has driven the field of astrophysics and cosmology to new frontiers.As the search for dark matter continues, the scientific community remains hopeful that a breakthrough is on the horizon. The potential rewards of such a discovery are immense, as it could not only shed light on the nature of the universe but also lead to a deeper understanding of the fundamental forces that govern our reality. Whether the answer lies in the detection of exotic particles, the refinement of our theories of gravity, or some entirely unexpected revelation, the pursuit of dark matter remains one of the most captivating and high-stakes endeavors in the realm of scientific exploration.In the end, the mystery of dark matter serves as a poignant reminder of the limitless boundaries of human knowledge and the boundless potential of the universe to surprise and inspire us. As we continue to push the boundaries of our understanding, we are reminded that the greatest discoveries often lie in the shadows, waiting to be uncovered by the curious and the courageous. The pursuit of dark matter, therefore, is not just a quest for scientific knowledge, but a testament to the human spirit's unwavering determination to unravel the deepest secrets of the cosmos.。
a r X i v :g r -q c /0210079v 1 23 O c t 2002DARK ENERGY,DARK MATTER ANDTHE CHAPLYGIN GASR.Colistete Jr.1,J.C.Fabris 2,S.V.B.Gon¸c alves 3and P.E.de Souza 4Departamento de F´ısica,Universidade Federal do Esp´ırito Santo,CEP29060-900,Vit´o ria,Esp´ırito Santo,BrazilAbstract The possibility that the dark energy may be described by the Chaplygin gas is discussed.Some observational constraints are established.These observational constraints indicate that a unified model for dark energy and dark matter through the employement of the Chaplygin gas is favored.PACS number(s):98.80.Bp,98.65.Dx The possible existence of dark matter and dark energy in the Universe constitutes one of the most important problems in physics today.One calls dark matter the mysteri-ous component of galaxies and clusters of galaxies that manifestates itself only through gravitational effects,affecting only the dynamics of those object.Dark matter appears in collapsed objects.The existence of dark energy,on the other hand,has been speculated due to the observation of the Universe as a whole.In particular,the position of the first accoustic peak in the spectrum of the anisotropy of the cosmic microwave background radiation[1]and the data from supernova type Ia[2,3]suggest that the dynamics of the Universe is such that the most important matter component is non-clustered,exhibit-ing negative pressure.The current observations favor Ωdm ∼0.3and Ωde ∼0.7for the proportion of dark matter and dark energy.The most natural candidate to represent dark energy is a cosmological constant[4].However,it is necessary a fine tunning of 120orders of magnitude in order to obtainagreement with observations.Another popular candidate today is quintessence,a self-interacting scalar field[5,6,7].But the quintessence program suffers from fine tuning of microphysical paremeters.In this work,we discuss the possibility that the dark energy may be represented by the Chaplygin gas[8,9,10,11,12],which is characterized by the equation of state p =−A 1e-mail:coliste@ccr.jussieu.fr 2e-mail:fabris@cce.ufes.br 3e-mail:sergio@cce.ufes.br 4e-mail:patricia.ilus@.brcharacter of the action is somehow hidden in the equation of state (1).For a review of the properties of the Chaplygin gas see reference [13].Using the relativistic equation of conservation for a fluid in a FRW background,we obtain that the density of the Chaplygin gas depends on the scale factor asρ= a 6.(2)Hence,initially the Chaplygin gas behaves as a pressurelless fluid and assumes asymp-totically a behaviour typical of a cosmological constant.In this sense,the Chaplygin gas may be an alternative for the description of dark energy.Remark that,even if the pressure associated with the Chaplygin gas is negative,the sound velocity is real.Hence,no instability problem occurs as it happens with other fluids with negative pressure[14].In reference [9]the density perturbations in a Universe dominated by the Chaplygin gas was investigate.In that work,the fact that the Chaplygin gas may be represented by a newtonian fluid was explored.The density contrast behaves asδ=t −1/6 C 1J ν(Σ2nt 7/3)+C 2J −ν(Σ2nt 7/3) ,(3)where n is the wavenumber of the perturbations,ν=5/14and Σ2=54a 20,a 0is a constant and C 1and C 2are constants that depend on n .A simple analysis of this solutionindicates that initially the perturbations behave as in the case of the pressurelless fluid,presenting asymptotically oscillatory behaviour with decreasing amplitude,approaching a zero value typical of a cosmological constant.Even if this result was obtained in a newtonian context,a numerical analysis of the corresponding relativistic equations exhibit the same behaviour.In reference [10],the mass power spectrum of the perturbations in a Universe domi-nated by the Chaplygin gas was computed.The matter content was assumed to be com-posed of radiation,dark matter and dark energy,the latter represented by the Chaplygin gas.Due to the complexity of perturbed equations,a numerical analysis was performed.The initial spectrum,at the moment of decoupling of radiation and matter,was supposed to be the Harrisson-Zeldovich scale invariant spectrum.Taken at constant time,this implies to impose an initial spectral index n s =5.The system evolves and the power spectrum is computed for the present time.The final results were obtained for a Universe dominated uniquely by a pressurelless fluid (baryonic model ),for a cosmological constant model and for a mixed of dark matter and Chaplygin gas,with different values for thesound velocity of the Chaplygin gas,defined as v 2s =¯A =A/ρ2c 0,where ρc 0is the Chaply-gin gas density today.When ¯A =1the Chaplygin gas becomes identical to a cosmologicalconstant.It was verified that the Chaplygin gas models interpolate the baryonic model and the cosmological constant model as ¯Avaries from zero to unity.The results for the power spectrum P (n )=n 3/2δn in terms of n/n 0,where n 0is reference scale correspond-ing to 100Mpc ,are displayed in figure 1for the baryonic model,cosmological constant model and for the Chaplygin gas model with different values for ¯A.The spectral indice for perturbations of some hundreds of megaparsecs up to the Hubble radius is n s ∼4.7for the baryonic model,n s∼4.2for the cosmological constant model,n s∼4.5for the Chaplygin gas with¯A=0.5.Another important test to verify if the Chaplygin gas model may represent dark energy is the comparison with the supernova type Ia data.In order to do so,we evaluate the luminosity distance[15]in the Chaplygin gas cosmological model.In such a model,the luminosity distance,for aflat Universe,readsD L=(1+z) z0dz′Ωm0(1+z′)3+Ωc0¯A+(1−¯A)(1+z′)6 .(5) In order to compare with the supernova data,we compute the quantityµ0=5log D Lσ2µ0,i +σ2mz,i.(7)In this expression,µo0,i is the measured value,µt0,i is the value calculated through themodel described above,σ2µ0,i is the measuremente error,σ2mz,i is the dispersion in thedistance modulus due to the dispersion in galaxy redshift due to perculiar velocities.This quantity we will taken asσmz=∂log D Lmay unify dark matter with dark energy:at small scales,the Chaplygin gas may cluster, playing the role of dark matter,remaining a smooth component at large scale[8,11,12].The results presented above indicate that the Chaplygin gas may be taken seriously as a candidate to describe dark energy and dark matter.However,more analysis are needed in order to verify to which extent it can be a better alternative with respect to the cosmological constant model combined with dark energy.A crucial test is the analysis of the spectrum of anisotropy of the cosmic microwave background radiation. 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