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.

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

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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