Bulk viscous matter and recent acceleration of the Universe

Abstract

We consider a cosmological model dominated by bulk viscous matter with total bulk viscosity coefficient proportional to the velocity and acceleration of the expansion of the universe in such a way that $\zeta ={\zeta }_0+{\zeta }_1\frac{\dot{a}}{a}+{\zeta }_2\frac{\ddot{a}}{\dot{a}}.$ We show that there exist two limiting conditions in the bulk viscous coefficients, (${\zeta }_0$, ${\zeta }_1$, ${\zeta }_2$) which corresponds to a universe having a Big-Bang at the origin, followed by an early decelerated epoch and then making a smooth transition into an accelerating epoch. We have constrained the model using the type Ia Supernovae data, evaluated the best estimated values of all the bulk viscous parameters and the Hubble parameter corresponding to the two limiting conditions. We found that even though the evolution of the cosmological parameters are in general different for the two limiting cases, they show identical behavior for the best estimated values of the parameters from both the limiting conditions. A recent acceleration would occur if ${\tilde{\zeta }}_0+{\tilde{\zeta }}_1>1$ for the first limiting conditions and if ${\tilde{\zeta }}_0+{\tilde{\zeta }}_1<1$ for the second limiting conditions. The age of the universe predicted by this model is found to be less than that predicted from the oldest galactic globular clusters. The total bulk viscosity seems to be negative in the past and becomes positive when $z\le 0.8$. So the model violates the local second law of thermodynamics. However, the model satisfies the generalized second law of thermodynamics at the apparent horizon throughout the evolution of the universe. We also made a statefinder analysis of the model and found that it is distinguishably different from the standard $\Lambda$CDM model at present, but shows a de Sitter type behavior in the far future of the evolution.

arXiv comment14 figures

References in corpus (46)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Dynamics of dark energy
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Cosmological parameters from SDSS and WMAP
• 4D Gravity on a Brane in 5D Minkowski Space
• Quantum Gravity at a Lifshitz Point
• An alternative to quintessence
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Data Processing, Sky Maps, and Basic Results
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Statefinder -- a new geometrical diagnostic of dark energy
• Kinetically Driven Quintessence
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Curvature Quintessence
• Modified teleparallel gravity: inflation without inflaton
• Quintessence and the Rest of the World
• Gauss-Bonnet dark energy
• Scaling solutions in general non-minimal coupling theories
• The case for dynamical dark energy revisited
• Distances, ages, and epoch of formation of globular clusters
• Bulk Viscous Cosmology
• Cosmic anti-friction and accelerated expansion
• Lanczos-Lovelock models of gravity
• Viscous Little Rip Cosmology
• Thermodynamics of interacting holographic dark energy with apparent horizon as an IR cutoff
• Does Bulk Viscosity Create a Viable Unified Dark Matter Model?
• Cosmological model with viscosity media (dark fluid) described by an effective equation of state
• Bulk viscosity driving the acceleration of the Universe
• Viscous dark energy and phantom evolution
• Bulk viscous cosmology: statefinder and entropy
• Viscous dark fluid universe
• Can a matter-dominated model with constant bulk viscosity drive the accelerated expansion of the universe?
• Exploring a matter-dominated model with bulk viscosity to drive the accelerated expansion of the Universe
• Interacting dark matter and modified holographic Ricci dark energy induce a relaxed Chaplygin gas
• Bulk Viscosity, Decaying Dark Matter, and the Cosmic Acceleration
• New limits on ${\Omega }_{\Lambda }$ and ${\Omega }_M$ from old galaxies at high redshift
• Constraints on dissipative unified dark matter
• The integrated Sachs-Wolfe Effect -- Large Scale Structure Correlation
• Viscous cosmological models and accelerated Universes
• Viscous dark energy and generalized second law of thermodynamics
• Universe Models with Negative Bulk Viscosity
• Statefinder diagnostic for cosmology with the abnormally weighting energy hypothesis
• Bulk Viscous Matter-dominated Universes: Asymptotic Properties
• Interacting modified holographic Ricci dark energy model and statefinder diagnosis in flat universe
• Cosmological horizon entropy and generalised second law for flat Friedmann Universe

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