https://doi.org/10.1140/epjp/i2013-13012-6
Regular Article
Generalized second law of thermodynamics in the emergent universe for some viable models of f(T) gravity
1
Department of Mathematics, Bhairab Ganguly College, 700 056, Kolkata, India
2
Department of Physics, University of Trieste, Via Valerio, 234127, Trieste, Italy
3
Pailan College of Management and Technology, Bengal Pailan Park, 700 104, Kolkata, India
* e-mail: ghoshrahul3@gmail.com
Received:
15
July
2012
Revised:
12
January
2013
Accepted:
15
January
2013
Published online:
5
February
2013
The present work is motivated by the study of the paper K. Karami, A. Abdolmaleki, J. Cosmol. Astropart. Phys. 04, 007 (2012), where the generalized second law (GSL) of thermodynamics has been investigated for a flat FRW universe for three viable models of f(T) gravity. We have here considered a non-flat universe and, accordingly, studied the behaviors of the equation-of-state (EoS) parameter ω and of the deceleration parameter q. Subsequently, using the first law of thermodynamics, we derived the expressions for the time derivative of the total entropy of a universe enveloped by apparent horizon. In the next phase, with the choice of scale factor a(t) pertaining to an emergent universe, we have investigated the sign of the time derivatives of total entropy for the models of f(T) gravity considered.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2013