Viscous coupled fluids in terms of a log-corrected equation of state

Abstract

We consider a class of cosmological fluids that possess properties analogous to those of crystalline solids undergoing isotropic deformations. Our research is based on a modified log-corrected power-law equation of state in the presence of a bulk viscosity. This formalism represents a class of so-called logotropic fluids, and allows explaining an accelerating late-time universe. In order to obtain a more detailed picture of its evolution, we add in our model a coupling of the log-corrected power-law fluid to dark matter, and study various interacting forms between them. We solve the system of equations for a modified log-power-law fluid coupled to dark matter, and obtain expressions for the log-corrected power-law energy density, and the energy density for dark matter. A comparative analysis is made with the model of a nonviscous log-corrected power-law fluid without interaction with dark matter.

arXiv comment15 pages latex, author list corrected. To appear in Int. J. Geom. Meth. Mod. Phys

References in corpus (31)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• The Cosmological Constant and Dark Energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Phantom Energy and Cosmic Doomsday
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Properties of singularities in (phantom) dark energy universe
• Quantum deSitter cosmology and phantom matter
• The 2dF Galaxy Redshift Survey: correlation functions, peculiar velocities and the matter density of the Universe
• Dark Energy
• Inhomogeneous Equation of State of the Universe: Phantom Era, Future Singularity and Crossing the Phantom Barrier
• Sudden Future Singularities
• Dark Energy: Vacuum Fluctuations, the Effective Phantom Phase, and Holography
• Quantum escape of sudden future singularity
• The new form of the equation of state for dark energy fluid and accelerating universe
• Cosmological Evolution With Interaction Between Dark Energy And Dark Matter
• Superquintessence
• The Logotropic Dark Fluid as a unification of dark matter and dark energy
• Cosmological Fluids with Logarithmic Equation of State
• Effective field description of the Anton-Schmidt cosmic fluid
• An analysis of the $H_0$ tension problem in a universe with a viscous dark fluid
• Cosmological singularities in interacting dark energy models with an $\omega (q)$ parametrization
• Comparison between the Logotropic and $\Lambda$CDM models at the cosmological scale
• Inhomogeneous viscous dark fluid coupled with dark matter in the FRW universe
• On An Interacting New Holographic Dark Energy Model: observational constraints
• The effect of thermal radiation on singularities in the dark universe
• Thermodynamic aspects of entropic cosmology with viscosity
• Non-linear logarithmic interactions and a varying polytropic gas

Cited by in corpus (2)

• Signature flips in time-varying $\Lambda (t)$ cosmological models with observational data
• Singularity softening and avoidance by the action of thermal radiation in a generalized entropic cosmology