Eur. Phys. J. C (2018) 78: 986
https://doi.org/10.1140/epjc/s10052-018-6446-0

Regular Article - Theoretical Physics

Thermodynamics in Rastall gravity with entropy corrections

¹ Division of Human Support System, Faculty of Symbiotic Systems Science, Fukushima University, Fukushima, 960-1296, Japan
² Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore, 54000, Pakistan
³ Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), Maragha, 55134-441, Iran

^* e-mail: bamba@sss.fukushima-u.ac.jp

Received: 21 March 2018
Accepted: 13 November 2018
Published online: 30 November 2018

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.