Viscous dissipative Chaplygin gas dominated homogenous and isotropic cosmological models

Abstract

The generalized Chaplygin gas, which interpolates between a high density relativistic era and a non-relativistic matter phase, is a popular dark energy candidate. We consider a generalization of the Chaplygin gas model, by assuming the presence of a bulk viscous type dissipative term in the effective thermodynamic pressure of the gas. The dissipative effects are described by using the truncated Israel-Stewart model, with the bulk viscosity coefficient and the relaxation time functions of the energy density only. The corresponding cosmological dynamics of the bulk viscous Chaplygin gas dominated universe is considered in detail for a flat homogeneous isotropic Friedmann-Robertson-Walker geometry. For different values of the model parameters we consider the evolution of the cosmological parameters (scale factor, energy density, Hubble function, deceleration parameter and luminosity distance, respectively), by using both analytical and numerical methods. In the large time limit the model describes an accelerating universe, with the effective negative pressure induced by the Chaplygin gas and the bulk viscous pressure driving the acceleration. The theoretical predictions of the luminosity distance of our model are compared with the observations of the type Ia supernovae. The model fits well the recent supernova data. From the fitting we determine both the equation of state of the Chaplygin gas, and the parameters characterizing the bulk viscosity. The evolution of the scalar field associated to the viscous Chaplygin fluid is also considered, and the corresponding potential is obtained. Hence the viscous Chaplygin gas model offers an effective dynamical possibility for replacing the cosmological constant, and to explain the recent acceleration of the universe.

14 pages, 9 figures, to appear in PRD

References in corpus (68)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• The Cosmological Constant and Dark Energy
• Cosmological Imprint of an Energy Component with General Equation of State
• Cosmological Constant - the Weight of the Vacuum
• An alternative to quintessence
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• Generalized Chaplygin Gas, Accelerated Expansion and Dark Energy-Matter Unification
• MAXIMA-1: A Measurement of the Cosmic Microwave Background Anisotropy on angular scales of 10 arcminutes to 5 degrees
• Unification of Dark Matter and Dark Energy: the Inhomogeneous Chaplygin Gas
• The final state and thermodynamics of dark energy universe
• Can the clustered dark matter and the smooth dark energy arise from the same scalar field ?
• Role of Modified Chaplygin Gas in Accelerated Universe
• Nonminimal coupling and quintessence
• WMAP and the Generalized Chaplygin Gas
• Generalized Chaplygin gas and CMBR constraints
• WMAP Constraints on the Generalized Chaplygin Gas Model
• Constraints on the generalized Chaplygin gas from supernovae observations
• The Revival of the Unified Dark Energy-Dark Matter Model ?
• Cosmological consequences of a Chaplygin gas dark energy
• Constraints on linear-negative potentials in quintessence and phantom models from recent supernova data
• Are Chaplygin gases serious contenders to the dark energy throne?
• Latest Supernova data in the framework of Generalized Chaplygin Gas model
• Quintessence and Scalar Dark Matter in the Universe
• Generalized Chaplygin gas as a unified scenario of dark matter/energy: observational constraints
• Cosmological Effects of a Class of Fluid Dark Energy Models
• Late time acceleration in Brans Dicke Cosmology
• High-redshift objects and the generalized Chaplygin gas
• Enlarged quintessence cosmology
• Expected constraints on the generalized Chaplygin equation of state from future supernova experiments and gravitational lensing statistics
• Generalized Chaplygin gas model: constraints from Hubble parameter versus Redshift Data
• Constraints on Chaplygin quartessence from the CLASS gravitational lens statistics and supernova data
• Causal Thermodynamics in Relativity
• Chaplygin-like gas and branes in black hole bulks
• Density perturbations with relativistic thermodynamics
• Cosmological models described by a mixture of van der Waals fluid and dark energy
• Large scale structure and the generalised Chaplygin gas as dark energy
• The Role of Baryons in Unified Dark Matter Models
• Cosmological constraints on Chaplygin gas dark energy from galaxy clusters X-ray and supernova data
• Entropy perturbations in quartessence Chaplygin models
• Dissipative Fluid in Brans Dicke theory and late time acceleration
• Qualitative Viscous Cosmology
• Cosmon dark matter?
• Qualitative Analysis of Viscous Fluid Cosmological Models satisfying the Israel-Stewart theory of Irreversible Thermodynamics
• Viscous Bianchi type I universes in brane cosmology
• Dissipative cosmological solutions
• Thermodynamical properties of dark energy
• Chaplygin gas dominated anisotropic brane world cosmological models
• The $\Lambda \mathrm{CDM}$ Limit of the Generalized Chaplygin Gas Scenario
• The onset of the non-linear regime in unified dark matter models
• Generalized Chaplygin gas model, supernovae and cosmic topology
• Viscous dissipative effects in isotropic brane cosmology
• Approaching Lambda without fine-tuning
• Stability of FRW Cosmology with Generalized Chaplygin Gas
• Extended Born-Infeld Dynamics and Cosmology
• The Evolution of Inverse Power Law Quintessence at Low Redshift
• Generalized Chaplygin gas as geometrical dark energy
• Qualitative analysis of dissipative cosmologies
• Chaplygin gas in light of recent Integrated Sachs--Wolfe effect data
• Remarks on the Generalized Chaplygin Gas
• The luminosity-redshift relation in brane-worlds: I. Analytical results
• The luminosity-redshift relation in brane-worlds: II. Confrontation with experimental data
• Quintessence and cosmic acceleration
• Size of Black Holes through Polymer Scaling
• Renormalization Group Approach to Causal Viscous Cosmological Models
• Exact Dissipative Cosmologies with Stiff Fluid
• Cosmological tests of generalized RS brane-worlds with Weyl fluid

Cited by in corpus (23)

• Weyl-Cartan-Weitzenböck gravity as a generalization of teleparallel gravity
• Dark Energy in Practice
• Interacting Holographic Viscous Dark Energy Model
• Generalized Holographic Dark Energy Model
• The universe dominated by the extended Chaplygin gas
• Late Decaying Dark Matter, Bulk Viscosity and the Cosmic Acceleration
• Viscous Quark-Gluon Plasma in the Early Universe
• Interacting Holographic Extended Chaplygin Gas and Phantom Cosmology in the Light of BICEP2
• Cosmology of a generalised version of holographic dark energy in presence of bulk viscosity and its inflationary dynamics through slow roll parameters
• Constructing an Inflaton Potential by Mimicking Modified Chaplygin Gas
• Testing the (generalized) Chaplygin gas model with the Lookback time-Redshift data
• Traversable holographic dark energy wormholes constrained by astronomical observations
• Modified Cosmic Chaplygin AdS Black Hole
• Cosmological constraints from low-redshift data
• Combined cosmological tests of a bivalent tachyonic dark energy scalar field model
• Role of Chaplygin gas as geometrical dark energy in anisotropic brane gravity
• Dissipative quintessence, and its cosmological implications
• Viscous extended holographic Ricci dark energy in the framework of standard Eckart theory
• Israel-Stewart approach to viscous dissipative extended holographic Ricci dark energy dominated universe
• Cosmological constraints on superconducting dark energy models
• Sound Speed in Extended Chaplygin Fluid
• The nature of cosmological singularities in isotropic universes and braneworlds
• Criticality and Big Brake singularities in the tachyonic evolutions of closed Friedmann universes with cold dark matter