Israel-Stewart approach to viscous dissipative extended holographic Ricci dark energy dominated universe

Abstract

This paper reports a study on the truncated Israel-Stewart formalism for bulk viscosity using the extended holographic Ricci dark energy (EHRDE), where the density of dark energy is given as a combination of the Hubble parameter and its derivative. The equations of motion are integrated and the resulting model is analysed under many aspects, including the state finder parameters and the generalised thermodynamics second law. Under the consideration that the universe is dominated by EHRDE the evolution equation for the bulk viscous pressure $\Pi$ in the framework of the truncated Israel-Stewart theory has been taken as $\tau \dot{\Pi }+\Pi =-3\xi H$, where $\tau$ is the relaxation time and $\xi$ is the bulk viscosity coefficient. Considering effective pressure as a sum of thermodynamic pressure of EHRDE and bulk viscous pressure it has been observed that under the influence of bulk viscosity the EoS parameter $w_{DE}$ is behaving like phantom i.e. $w_{DE}\le -1$. It has been observed that the magnitude of the effective pressure $p_{eff}=p+\Pi$ is decaying with time. We also investigated the case for a specific choice of scale factor namely $a(t)=(t-t_0{)}^{\frac{\beta }{1-\alpha }}$. For this choice we have observed that a transition from quintessence to phantom is possible for the equation of state parameter. However, the $\Lambda$CDM phase is not attainable by the statefinder trajectories for this choice. Finally it has been observed that in both of the cases the generalized second law of thermodynamics is valid for the viscous EHRDE dominated universe enveloped by the apparent horizon.

23 pages, 11 figures. arXiv admin note: text overlap with arXiv:0801.2008 by other authors

References in corpus (23)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Dark Energy and the Accelerating Universe
• A Holographic Dark Energy Model from Ricci Scalar Curvature
• Infrared cut-off proposal for the Holographic density
• Constraints on Holographic Dark Energy from Latest Supernovae, Galaxy Clustering, and Cosmic Microwave Background Anisotropy Observations
• Generalized Second Law of Thermodynamics in Quintom Dominated Universe
• Bulk Viscous Cosmology
• Statefinder Diagnosis for Ricci Dark Energy
• Viscous Ricci Dark Energy
• Generalized Second Law of Thermodynamics in $f(T)$ Gravity with Entropy Corrections
• Inflation in a viscous fluid model
• Cardy-Verlinde formula in FRW Universe with inhomogeneous generalized fluid and dynamical entropy bounds near the future singularity
• Generalized Second Law for Cosmology
• Statefinder Analysis of f(T) Cosmology
• Dark Energy Coupled with Dark Matter in Viscous Fluid Cosmology
• Viscous dissipative Chaplygin gas dominated homogenous and isotropic cosmological models
• Viscous dark energy and generalized second law of thermodynamics
• Viscous Dark Energy in $f(T)$ Gravity
• The generalized second law of thermodynamics for interacting $f(R)$ gravity
• Holographic Ricci dark energy as running vacuum
• Thermodynamical study of FRW universe in Quasi-Topological Theory

Cited by in corpus (2)

• Observational constraints and some toy models in $f(Q)$ gravity with bulk viscous fluid
• Viscous extended holographic Ricci dark energy in the framework of standard Eckart theory