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Advances in High Energy Physics
Volume 2018, Article ID 2563871, 11 pages
https://doi.org/10.1155/2018/2563871
Research Article

Thermodynamics in Gravity

Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore 54590, Pakistan

Correspondence should be addressed to M. Sharif; kp.ude.up@htam.firahsm

Received 18 December 2017; Accepted 24 January 2018; Published 8 March 2018

Academic Editor: Elias C. Vagenas

Copyright © 2018 M. Sharif and Ayesha Ikram. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

This paper explores the nonequilibrium behavior of thermodynamics at the apparent horizon of isotropic and homogeneous universe model in gravity ( and represent the Gauss-Bonnet invariant and trace of the energy-momentum tensor, resp.). We construct the corresponding field equations and analyze the first as well as generalized second law of thermodynamics in this scenario. It is found that an auxiliary term corresponding to entropy production appears due to the nonequilibrium picture of thermodynamics in first law. The universal condition for the validity of generalized second law of thermodynamics is also obtained. Finally, we check the validity of generalized second law of thermodynamics for the reconstructed models (de Sitter and power-law solutions). We conclude that this law holds for suitable choices of free parameters.