Exponential correction to Friedmann equations

TL;DR

This paper derives modified Friedmann equations using exponential corrected entropy within entropic gravity, examines thermodynamic laws, and explores bouncing cosmologies for different curvature cases.

Contribution

It introduces a novel derivation of modified Friedmann equations based on exponential entropy correction and investigates their cosmological implications.

Findings

GSL of thermodynamics is always satisfied.

Bouncing universe behavior is possible for k=1 and k=-1.

Deceleration parameter analyzed for flat universe.

Abstract

In this paper, employing the exponential corrected entropy (Chatterjee and Ghosh in Phys Rev Lett 125:041302, 2020), we derive the modified Friedmann equations from the first law of thermodynamics at apparent horizon and Verlinde's entropic gravity scenario. First, we derive the modified Friedmann equations from the first law of thermodynamics. We investigate the validity of generalised second law (GSL) of thermodynamics and find that it is always satisfied for the all eras of universe. Moreover, we investigate the deceleration parameter for the case $k=0$ in two frameworks. Finally, we numerically study the bouncing behaviour for the modified Friedmann equations obtained from entropic gravity. The results indicate that the bouncing behaviour is possible for the cases $k=1$ and $k=-1$.