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Showing papers on "Big Rip published in 2006"


Journal ArticleDOI
TL;DR: In this article, a unified approach to early-time and late-time universe based on phantom cosmology is proposed, where gravity-scalar system which contains usual potential and scalar coupling function in front of kinetic term is considered.
Abstract: The unifying approach to early-time and late-time universe based on phantom cosmology is proposed. We consider gravity-scalar system which contains usual potential and scalar coupling function in front of kinetic term. As a result, the possibility of phantom–non-phantom transition appears in such a way that universe could have effectively phantom equation of state at early time as well as at late time. In fact, the oscillating universe may have several phantom and non-phantom phases. Role in each of two phase and can be absorbed into the redefinition of the scalar field. Right on the transition point, however, the factor cannot be absorbed into the redefinition and play the role to connect two phases smoothly. Holographic dark energy where infrared cutoff is identified with combination of FRW parameters: Hubble constant, particle and future horizons, cosmological constant and universe life-time (if finite). Depending on the specific choice of the model the number of interesting effects occur: the possibility to solve the coincidence problem, crossing of phantom divide and unification of early-time inflationary and late-time accelerating phantom universe. The bound for holographic entropy which decreases in phantom era is also discussed.

857 citations


Journal ArticleDOI
TL;DR: In this article, an oscillating dark energy model is proposed to unify the early inflation and current acceleration of the universe, leading to the oscillations of the Hubble constant and a recurring universe.

378 citations


Journal ArticleDOI
TL;DR: In this article, the laws of thermodynamics in an accelerating universe driven by dark energy with a time-dependent equation of state were investigated, and it was shown that both the first law and second law are satisfied.
Abstract: We investigate the laws of thermodynamics in an accelerating universe driven by dark energy with a time-dependent equation of state. In the case we consider that the physically relevant part of the Universe is that enveloped by the dynamical apparent horizon, we have shown that both the first law and second law of thermodynamics are satisfied. On the other hand, if the boundary of the Universe is considered to be the cosmological event horizon the thermodynamical description based on the definitions of boundary entropy and temperature breaks down. No parameter redefinition can rescue the thermodynamics laws from such a fate, rendering the cosmological event horizon unphysical from the point of view of the laws of thermodynamics.

286 citations


Journal ArticleDOI
TL;DR: In this article, the authors consider the fate of future singularities in the effective dynamics of loop quantum cosmology and consider the case when pressure diverges but energy density approaches a finite value.
Abstract: We consider the fate of future singularities in the effective dynamics of loop quantum cosmology. Nonperturbative quantum geometric effects which lead to ${\ensuremath{\rho}}^{2}$ modification of the Friedmann equation at high energies result in generic resolution of singularities whenever energy density $\ensuremath{\rho}$ diverges at future singularities of Friedmann dynamics. Such quantum effects lead to the avoidance of a big rip, which is followed by a recollapsing universe stable against perturbations. Resolution of sudden singularity, the case when pressure diverges but energy density approaches a finite value depends on the ratio of the latter to a critical energy density of the order of the Planck value. If the value of this ratio is greater than unity, the universe escapes the sudden future singularity and becomes oscillatory.

166 citations


Journal ArticleDOI
TL;DR: It is shown that models of generalized modified gravity, with inverse powers of the curvature, can explain the current accelerated expansion of the Universe without resorting to dark energy and without conflicting with solar system experiments.
Abstract: We show that the current accelerated expansion of the Universe can be explained without resorting to dark energy. Models of generalized modified gravity, with inverse powers of the curvature can have late time accelerating attractors without conflicting with solar system experiments. We have solved the Friedman equations for the full dynamical range of the evolution of the Universe. This allows us to perform a detailed analysis of Supernovae data in the context of such models that results in an excellent fit. Hence, inverse curvature gravity models represent an example of phenomenologically viable models in which the current acceleration of the Universe is driven by curvature instead of dark energy. If we further include constraints on the current expansion rate of the Universe from the Hubble Space Telescope and on the age of the Universe from globular clusters, we obtain that the matter content of the Universe is 0.07 {le} {omega}{sub m} {le} 0.21 (95% Confidence). Hence the inverse curvature gravity models considered can not explain the dynamics of the Universe just with a baryonic matter component.

113 citations


Journal ArticleDOI
TL;DR: A class of braneworld models can lead to phantom-like acceleration of the late universe, but without the need for any phantom matter, by introducing a quintessence field, and there is no phantom instability.
Abstract: A class of braneworld models can lead to phantom-like acceleration of the late universe, but without the need for any phantom matter. In the simplest models, the universe contains only cold dark matter and a cosmological constant. We generalize these models by introducing a quintessence field. The new feature in our models is that quintessence leads to a crossing of the phantom divide, w = −1. This is a purely gravitational effect, and there is no phantom instability. Furthermore, the Hubble parameter is always decreasing, and there is no big rip singularity in the future.

111 citations


Journal ArticleDOI
TL;DR: In this article, it was shown that the anthropic principle does not determine the scale of electroweak breaking, or even require that it be smaller than the Planck scale, so long as technically natural parameters may be suitably adjusted.
Abstract: A universe without weak interactions is constructed that undergoes big-bang nucleosynthesis, matter domination, structure formation, and star formation. The stars in this universe are able to burn for billions of years, synthesize elements up to iron, and undergo supernova explosions, dispersing heavy elements into the interstellar medium. These definitive claims are supported by a detailed analysis where this hypothetical ``weakless universe'' is matched to our Universe by simultaneously adjusting standard model and cosmological parameters. For instance, chemistry and nuclear physics are essentially unchanged. The apparent habitability of the weakless universe suggests that the anthropic principle does not determine the scale of electroweak breaking, or even require that it be smaller than the Planck scale, so long as technically natural parameters may be suitably adjusted. Whether the multiparameter adjustment is realized or probable is dependent on the ultraviolet completion, such as the string landscape. Considering a similar analysis for the cosmological constant, however, we argue that no adjustments of other parameters are able to allow the cosmological constant to raise up even remotely close to the Planck scale while obtaining macroscopic structure. The fine-tuning problems associated with the electroweak breaking scale and the cosmological constant therefore appear to be qualitatively different from the perspective of obtaining a habitable universe.

100 citations


Journal ArticleDOI
TL;DR: In this article, the authors review the observational evidence for the current accelerated expansion of the universe and present a number of dark energy models in addition to the conventional cosmological constant, paying particular attention to scalar field models such as quintessence, K-essence and tachyon.
Abstract: In this paper we review in detail a number of approaches that have been adopted to try and explain the remarkable observation of our accelerating Universe. In particular we discuss the arguments for and recent progress made towards understanding the nature of dark energy. We review the observational evidence for the current accelerated expansion of the universe and present a number of dark energy models in addition to the conventional cosmological constant, paying particular attention to scalar field models such as quintessence, K-essence, tachyon, phantom and dilatonic models. The importance of cosmological scaling solutions is emphasized when studying the dynamical system of scalar fields including coupled dark energy. We study the evolution of cosmological perturbations allowing us to confront them with the observation of the Cosmic Microwave Background and Large Scale Structure and demonstrate how it is possible in principle to reconstruct the equation of state of dark energy by also using Supernovae Ia observational data. We also discuss in detail the nature of tracking solutions in cosmology, particle physics and braneworld models of dark energy, the nature of possible future singularities, the effect of higher order curvature terms to avoid a Big Rip singularity, and approaches to modifying gravity which leads to a late-time accelerated expansion without recourse to a new form of dark energy.

92 citations


Journal ArticleDOI
TL;DR: In this paper, the authors study the possibility of building Yang?Mills (YM) field dark energy models with equation of state crossing?1, and find that it cannot be realized by the single YM field models, no matter what kind of Lagrangian or initial condition.
Abstract: In this paper, we study the possibility of building Yang?Mills (YM) field dark energy models with equation of state (EoS) crossing ?1, and find that it cannot be realized by the single YM field models, no matter what kind of Lagrangian or initial condition. But the states of ?1 ?1 to

75 citations


Journal ArticleDOI
TL;DR: In this paper, a general form of the interaction that is inspired by scalar-tensor theories of gravity is considered, and the authors concentrate their investigation on solutions which are free of the coincidence problem.
Abstract: Models of the universe with additional (non-gravitational) interaction between the components of the cosmic fluid—the phantom energy and the background—are investigated. A general form of the interaction that is inspired by scalar–tensor theories of gravity is considered. No specific model for the phantom fluid is assumed. We concentrate our investigation on solutions which are free of the coincidence problem. Solutions with constant and dynamical equation-of-state parameters are studied separately. In the last case the model allows for smooth transition from dust in the past into phantom in the future. We found a wide region in the parameter space where the solutions are also free of big rip singularity. Physical arguments, together with arguments based on the analysis of the observational evidence, suggest that phantom models without the big rip singularity might be preferred by nature.

74 citations


Journal ArticleDOI
TL;DR: The block universe view of spacetime is based on time reversible microphysical laws, which fail to capture essential features of the time-irreversible macro-physical behaviour and the development of emergent complex systems including life, which exist in the real universe as discussed by the authors.
Abstract: The Block Universe idea, representing spacetime as a fixed whole, suggests the flow of time is an illusion: the entire universe just is, with no special meaning attached to the present time. This paper points out that this view, in essence represented by usual space time diagrams, is based on time- reversible microphysical laws, which fail to capture essential features of the time-irreversible macro-physical behaviour and the development of emergent complex systems, including life, which exist in the real universe. When these are taken into account, the unchanging block universe view of spacetime is best replaced by an evolving block universe which extends as time evolves, with the potential of the future continually becoming the certainty of the past; spacetime itself evolves, as do the entities within it. However, this time evolution is not related to any preferred surfaces in spacetime; rather it is associated with the evolution of proper time along families of world lines.

Journal ArticleDOI
27 Apr 2006-Nature
TL;DR: Physicists and cosmologists have been exploring increasingly ambitious ideas in an attempt to explain how surprising aspects of the authors' Universe can arise from simple dynamical principles.
Abstract: It goes without saying that we are stuck with the Universe we have. Nevertheless, we would like to go beyond simply describing our observed Universe, and try to understand why it is that way rather than some other way. When considering both the state in which we find our current Universe, and the laws of physics it obeys, we discover features that seem remarkably unnatural to us. Physicists and cosmologists have been exploring increasingly ambitious ideas in an attempt to explain how surprising aspects of our Universe can arise from simple dynamical principles.

Journal ArticleDOI
TL;DR: In this article, a dark energy model of which the equation of state (EOS) w crosses over the cosmological constant boundary is presented. But the model is based on a single scalar field quintom model with higher derivative.

Journal ArticleDOI
TL;DR: In this article, the authors investigate how the nature of dark energy affects the determination of the curvature of the universe, using recent observations of type Ia supernovae, baryon acoustic oscillation peak and the cosmic microwave background with dark energy equations of state of several types.
Abstract: We investigate how the nature of dark energy affects the determination of the curvature of the universe, using recent observations. For this purpose, we consider the constraints on the matter and dark energy density using observations of type Ia supernovae, the baryon acoustic oscillation peak and the cosmic microwave background with dark energy equations of state of several types. Although it is usually said that the combination of current observations favours a flat universe, we found that a relatively large parameter space allows the universe to be open for a particular model of dark energy. We also discuss what kind of dark energy model or prior allows a non-flat universe.

Journal ArticleDOI
TL;DR: In this paper, it was shown that inflation and current cosmic acceleration can be generated by a metric-affine f(R) gravity formulated in the Einstein conformal frame, if the gravitational Lagrangian contains both positive and negative powers of the curvature scalar R in this frame.
Abstract: We show that inflation and current cosmic acceleration can be generated by a metric-affine f(R) gravity formulated in the Einstein conformal frame, if the gravitational Lagrangian L(R) contains both positive and negative powers of the curvature scalar R In this frame, we give the equations for the expansion of the homogeneous and isotropic matter-dominated universe in the case , where α and β are constants We also show that gravitational effects of matter in such a universe at very late stages of its expansion are weakened by a factor that tends to 3/4, and the energy density of matter scales the same way as in the ΛCDM model only when κ α

Journal ArticleDOI
TL;DR: In this paper, the authors consider scalar tensor theories of gravity and show that for a wide range of initial conditions such models lead in a natural way to an accelerated phase of expansion of the universe.
Abstract: Aims. To study the possibility of the appearance of an accelerated universe in scalar tensor cosmological models. Methods. We consider scalar tensor theories of gravity assuming that the scalar field is not minimally coupled with gravity. We use this theory to study evolution of a flat homogeneous and isotropic universe. In this case the dynamical equations can be derived form a point-like Lagrangian. We study the general properties of dynamics of this system and show that for a wide range of initial conditions such models lead in a natural way to an accelerated phase of expansion of the universe. Assuming that the point-like Lagrangian admits a Noether symmetry, we are able to explicitly solve the dynamical equations. Results. We study one particular model and show that its predictions are compatible with observational data, namely the publicly available data on type Ia supernovae, the parameters of large scale structure determined by the 2-degree Field Galaxy Redshift Survey (2dFGRS), the measurements of cosmological distances with the Sunyaev-Zel’dovich effect and the rate of growth of density perturbations. This model produces in a natural way an epoch of accelerated expansion. With an appropriate choice of parameters our model is fully compatible with several observed characteristics of the universe.

Journal ArticleDOI
TL;DR: In this paper, the authors discuss the constraints on the time-varying equation of state for dark energy and the curvature of the universe using observations of type Ia supernovae from Riess et al. and the most recent Supernova Legacy Survey.
Abstract: We discuss the constraints on the time-varying equation of state for dark energy and the curvature of the universe using observations of type Ia supernovae from Riess et al. and the most recent Supernova Legacy Survey (SNLS), the baryon acoustic oscillation peak detected in the SDSS luminous red galaxy survey and cosmic microwave background. Because of the degeneracy among the parameters which describe the time dependence of the equation of state and the curvature of the universe, the constraints on them can be weakened when we try to constrain them simultaneously, in particular, when we use a single observational data. However, we show that we can obtain relatively severe constraints when we use all data sets from observations above even if we consider the time-varying equation of state and do not assume a flat universe. We also found that the combined data set favors a flat universe even if we consider the time variation of the dark energy equation of state.

Journal ArticleDOI
TL;DR: BreBrevik and O. Gorbunova as discussed by the authors considered a modified form of gravity in which the action contained a power α of the scalar curvature, and they showed how the presence of a bulk viscosity in a spatially flat universe may drive the cosmic fluid into the phantom region (w -1) in the nonviscous case.
Abstract: We consider a modified form of gravity in which the action contains a power α of the scalar curvature. It is shown how the presence of a bulk viscosity in a spatially flat universe may drive the cosmic fluid into the phantom region (w -1) in the nonviscous case. The condition for this to occur is that the bulk viscosity contains the power (2α-1) of the scalar expansion. Two specific examples are discussed in detail. The present paper is a generalization of the recent investigation dealing with barrier crossing in Einstein's gravity: I. Brevik and O. Gorbunova, Gen. Relativ. Gravit.37, 2039 (2005).

Journal ArticleDOI
TL;DR: In this article, the potential in the Higgs sector Lagrangian from a given cosmological history (H(t, ρ(t)) is reconstructed via geometrical information on the universe such as the supernova distance-redshift relation.
Abstract: In the simplest Higgs phase of gravity called ghost condensation, an accelerating universe with a phantom era (w<−1) can be realized without ghosts or any other instabilities. In this paper we show how to reconstruct the potential in the Higgs sector Lagrangian from a given cosmological history (H(t), ρ(t)). This in principle allows us to constrain the potential via geometrical information on the universe such as the supernova distance–redshift relation. We also derive the evolution equation for cosmological perturbations in the Higgs phase of gravity by employing a systematic low energy expansion. This formalism is expected to be useful for testing the theory with dynamical information on the large scale structure in the universe such as the cosmic microwave background anisotropy, weak gravitational lensing and galaxy clustering.

Journal ArticleDOI
TL;DR: In this article, the authors considered multiple k-essence sources and obtained the conditions their kinetic functions must satisfy so that purely kinetic kessences lead to models with phantom barrier crossing, and they showed that polynomial kinetic functions allow the integration of the dynamical equations determining the geometry and the k-fields.

Journal ArticleDOI
TL;DR: In this paper, a detailed discussion on new cosmic solutions describing the early and late evolution of a universe that is filled with a kind of dark energy that may or may not satisfy the energy conditions is presented.

Journal ArticleDOI
TL;DR: In this article, a Friedmann-Robertson-Walker quantum cosmological model dominated by a phantom energy fluid is investigated, and the quantization is performed in three different ways, which turn out to lead to the same result.
Abstract: It is known that certain quantum cosmological models present quantum behavior for large scale factors. Since quantization can suppress past singularities, it is natural to inquire whether quantum effects can prevent future singularities. To this end, a Friedmann–Robertson–Walker quantum cosmological model dominated by a phantom energy fluid is investigated. The classical model displays accelerated expansion ending in a Big Rip. The quantization is performed in three different ways, which turn out to lead to the same result, namely there is a possibility that quantum gravitational effects could not remove the Big Rip.

Journal ArticleDOI
TL;DR: In this paper, the singularities in the late universe were discussed under the assumption that the Lagrangian contains the Einstein term R plus a modified gravity term of the form R + α, where α is a constant.
Abstract: Singularities in the dark energy late universe are discussed, under the assumption that the Lagrangian contains the Einstein term R plus a modified gravity term of the form R α, where α is a constant. It is found, similarly as in the case of pure Einstein gravity [Brevik and Gorbunova, Gen. Rel. Grav. 37, 2039, 2005], that the fluid can pass from the quintessence region (w > − 1) into the phantom region (w < − 1) as a consequence of a bulk viscosity varying with time. It becomes necessary now, however, to allow for a two-fluid model, since the viscosities for the two components vary differently with time. No scalar fields are needed for the description of the passage through the phantom barrier.


Journal ArticleDOI
18 Aug 2006-Science
TL;DR: Although this ionization is beginning to be understood by using theoretical models and computer simulations, a new generation of telescopes is being built that will map atomic hydrogen throughout the universe.
Abstract: The earliest generation of stars, far from being a mere novelty, transformed the universe from darkness to light. The first atoms to form after the Big Bang filled the universe with atomic hydrogen and a few light elements. As gravity pulled gas clouds together, the first stars ignited and their radiation turned the surrounding atoms into ions. By looking at gas between us and distant galaxies, we know that this ionization eventually pervaded all space, so that few hydrogen atoms remain today between galaxies. Knowing exactly when and how it did so is a primary goal of cosmologists, because this would tell us when the early stars formed and in what kinds of galaxies. Although this ionization is beginning to be understood by using theoretical models and computer simulations, a new generation of telescopes is being built that will map atomic hydrogen throughout the universe.

Journal ArticleDOI
TL;DR: In this paper, the authors study perfect fluid cosmological models with a constant equation of state parameter γ in which there are two naturally defined timelike congruences, a geometrically defined geodesic congruence and a non-geodesic fluid convoyence.
Abstract: We study perfect fluid cosmological models with a constant equation of state parameter γ in which there are two naturally defined timelike congruences, a geometrically defined geodesic congruence and a non-geodesic fluid congruence. We establish an appropriate set of boost formulae relating the physical variables, and consequently the observed quantities, in the two frames. We study expanding spatially homogeneous tilted perfect fluid models, with an emphasis on future evolution with extreme tilt. We show that for ultra-radiative equations of state (i.e. γ > 4/3), generically the tilt becomes extreme at late times and the fluid observers will reach infinite expansion within a finite proper time and experience a singularity similar to that of the big rip. In addition, we show that for sub-radiative equations of state (i.e. γ < 4/3), the tilt can become extreme at late times and give rise to an effective quintessential equation of state. To establish the connection with phantom cosmology and quintessence, we calculate the effective equation of state in the models under consideration and we determine the future asymptotic behaviour of the tilting models in the fluid frame variables using the boost formulae. We also discuss spatially inhomogeneous models and tilting spatially homogeneous models with a cosmological constant.

Journal ArticleDOI
TL;DR: Astroparticle physics is an interdisciplinary field that explores the connections between the physics of elementary particles and the large-scale properties of the universe, and String theory, in which the universe has several invisible dimensions, might offer an opportunity to unite the quantum description of the particle world with the gravitational properties ofThe large- scale universe.

Journal ArticleDOI
TL;DR: In this article, modifications to the Friedmann equation motivated by recent proposals along these lines pursuing an explanation to the observed late time acceleration are considered, and the duals of the modified Chaplygin cosmologies generated within that framework are discussed.
Abstract: We consider modifications to the Friedmann equation motivated by recent proposals along these lines pursuing an explanation to the observed late time acceleration. Here we show that these approaches can be framed within a theory with modified gravity, and we discuss the construction of the duals of the cosmologies generated within that framework. We then investigate the modifications required to generate extended, generalized and modified Chaplygin cosmologies, and then show that their duals belong to a larger family of cosmologies we call enlarged Chaplygin cosmologies. Finally, by letting the parameters of these models take values not earlier considered in the literature we show that some representatives of that family of cosmologies display sudden future singularities. This fact indicates that the behaviour of these spacetimes is rather different from that of generalized or modified Chaplygin gas cosmologies. This reinforces the idea that modifications of gravity can be responsible for unexpected evolutionary features in the universe.

Journal ArticleDOI
TL;DR: In this article, it is argued that the accretion of phantom energy onto a wormhole does not make the size of the wormhole throat to comovingly scale with the scale factor of the universe, but instead induces an increase of that size so big that the worm hole can engulf the universe itself before it reaches the big rip singularity, at least relative to an asymptotic observer.

Journal ArticleDOI
TL;DR: In this paper, the authors considered that the observable cosmological constant is the sum of the vacuum and the induced term with m being the ultra-light masses (≈ Hubble parameter) implemented in the theory from supergravities arguments and non-minimal coupling and studied its effects on spontaneous symmetry breaking with a Higgs potential.
Abstract: We consider that the observable cosmological constant is the sum of the vacuum (Λvac) and the induced term (Λind−3m2/4) with m being the ultra-light masses (≈ Hubble parameter) implemented in the theory from supergravities arguments and non-minimal coupling. In the absence of a scalar buildup of matter fields, we study its effects on spontaneous symmetry breaking with a Higgs potential and show how the presence of the ultra-light masses yields some important consequences for the early universe and new constraints on the Higgs and electroweak gauge bosons masses.