Universal Thermodynamics with state finder parameters: A general prescription

TL;DR

This paper explores universal thermodynamics in flat FRW models with interacting fluids, using state finder parameters to analyze the validity of the Generalized Second Law of Thermodynamics and deriving a general horizon evolution prescription.

Contribution

It introduces a general method to examine thermodynamic laws in cosmology using state finder parameters and derives a universal horizon evolution prescription applicable to non-static spherically symmetric spacetimes.

Findings

Feasible regions in the r-s plane for GSLT validity

A general restriction on matter for GSLT validity

A universal prescription for horizon evolution

Abstract

The work deals with universal thermodynamics for flat FRW model, considering interacting $n-$fluid system. By introducing the state finder parameters, the feasible regions in the $\{r,s\}-$plane has been examined for the validity of the Generalized Second Law of Thermodynamics. A general prescription for the evolution of the horizon has been derived for general non-static spherically symmetric space time and then it is applied to FRW universe. A general restriction on the matter has been found for the validity of GSLT.