Thermodynamics of apparent horizon in modified FRW universe with power-law corrected entropy

TL;DR

This paper derives a modified Friedmann equation incorporating power-law corrected entropy in a non-flat universe with interacting dark energy, analyzing its impact on cosmic dynamics and thermodynamic laws.

Contribution

It introduces a new entropy-area relation into cosmological equations and studies its effects on dark energy evolution and the generalized second law.

Findings

GSL holds for <2

Power-law correction influences dark energy dynamics

Modified Friedmann equations derived from entropy correction

Abstract

We derive the modified Friedmann equation corresponding to the power-law corrected entropy-area relation $S_{\rm A}=\frac{A}{4}[1-K_{\alpha} A^{1-\frac{\alpha}{2}}]$ which is motivated by the entanglement of quantum fields in and out of the apparent horizon. We consider a non-flat modified FRW universe containing an interacting viscous dark energy with dark matter and radiation. For the selected model, we study the effect of the power-law correction term to the entropy on the dynamics of dark energy. Furthermore, we investigate the validity of the generalized second law (GSL) of gravitational thermodynamics on the apparent horizon and conclude that the GSL is satisfied for $\alpha<2$.