Holographic bounce cosmological models induced by viscous dark fluid from a generalized non-singular entropy function

TL;DR

This paper explores holographic bounce cosmological models driven by viscous dark fluids within a non-singular entropy framework, analyzing different scale factors and their thermodynamic viability in a flat FRW universe.

Contribution

It introduces a novel approach combining generalized entropy functions with holographic bounce models and analyzes their behavior with various scale factors.

Findings

Bounce models formulated with exponential, power-law, and double-exponential scale factors.

Analytical expressions for infrared cut-offs derived from particle horizon.

Models shown to be thermodynamically viable with an additive generalized entropy.

Abstract

Bounce cosmological models containing a dark viscous fluid in a spatially flat Friedmann-Robertson-Walker (FRW) universe are considered. The universe evolution is described in terms of generalized equation of state (EoS) parameters, in presence of the bulk viscosity. Entropic cosmology plays a key role in the discussion, and the matter bounce behavior is described based on a non-singular, generalized entropy function, recently proposed by Odintsov and Paul. Three different forms for the scale factor are investigated: an exponential, a power-law, and a double-exponential function, respectively. Appropriate bounce cosmological models are formulated, via the relevant parameters of the modified EoS, and analytical expressions for the corresponding infrared cut-off are obtained, via the particle horizon. Results are displayed in holographic form, making use of generalized holographic cut-offs first introduced by Nojiri and Odintsov. In addition, the viability of the corresponding bounce cosmological models is investigated, taking into account the actual thermodynamic properties of our universe, by means of a no-singular, generalized entropy function. In the asymptotic case, an expression for the generalized entropy is obtained, which remarkably has the additivity property.