Eur. Phys. J. C (2012) 72: 1875
https://doi.org/10.1140/epjc/s10052-012-1875-7

Regular Article - Theoretical Physics

Generalized second law of thermodynamics for FRW cosmology with power-law entropy correction

¹ Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah, 711 103, India
² Department of Computer Application (Mathematics Section), Pailan College of Management and Technology, Bengal Pailan Park, Kolkata, 700 104, India
³ School of Electrical Engineering and Computer Science (SEECS), National University of Sciences and Technology (NUST), H-12, Islamabad, Pakistan
⁴ Center for Advanced Mathematics and Physics (CAMP), National University of Sciences and Technology (NUST), H-12, Islamabad, Pakistan
⁵ Eurasian International Center for Theoretical Physics, Eurasian National University, Astana, 010008, Kazakhstan

^* e-mail: surajit_2008@yahoo.co.in
^** e-mail: surajit.chattopadhyay@pcmt-india.net

Received: 14 October 2011
Revised: 7 January 2012
Published online: 4 February 2012

Abstract

In this work, we have considered the power-law correction of entropy on the horizon. If the flat FRW Universe is filled with the n components fluid with interactions, the GSL of thermodynamics for apparent and event horizons have been investigated for equilibrium and non-equilibrium cases. If we consider a small perturbation around the de Sitter spacetime, the general conditions of the validity of GSL have been found. Also if a phantom dominated Universe has a pole-like type scale factor, the validity of GSL has also been analyzed. Further we have obtained constraints on the power-law parameter α in the phantom and quintessence dominated regimes. Finally we obtain conditions under which GSL breaks down in a cosmological background.