# Thermodynamics in Rastall Gravity with Entropy Corrections

## TL;DR

This paper investigates the thermodynamics of the apparent horizon in Rastall gravity using various entropy definitions, confirming the validity of the generalized second law and examining equilibrium conditions.

## Contribution

It analyzes thermodynamic laws in Rastall gravity with multiple entropy forms, providing new insights into entropy behavior and law validity in this modified gravity framework.

## Key findings

- Generalized second law holds for all entropy types studied.
- Thermodynamic equilibrium conditions are satisfied at the current horizon.
- Entropy behavior varies with different entropy corrections.

## Abstract

We explore the thermodynamic analysis at the apparent horizon in the framework of Rastall theory of gravity. We take different entropies such as the Bakenstein, logarithmic corrected, power law corrected, and the Renyi entropies. We investigate the first law and generalized second law of thermodynamics analytically for these entropies which hold under certain conditions. Furthermore, the behavior of the total entropy in each case is analyzed. As a result, it is implied that the generalized second law of thermodynamics is satisfied. We also check whether the thermodynamic equilibrium condition for these entropies is met at the present horizon.