Eur. Phys. J. C (2017) 77: 472
https://doi.org/10.1140/epjc/s10052-017-5043-y

Regular Article - Theoretical Physics

Generalized second law of thermodynamic in modified teleparallel theory

¹ Department of Mathematics, COMSATS Institute of Information Technology Lahore, Lahore, Pakistan
² Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK
³ Department of Mathematics, School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), H-12, Islamabad, Pakistan

^* e-mail: mzubairkk@gmail.com
^** e-mail: drmzubair@ciitlahore.edu.pk

Received: 6 March 2017
Accepted: 30 June 2017
Published online: 15 July 2017

Abstract

This study is conducted to examine the validity of the generalized second law of thermodynamics (GSLT) in flat FRW for modified teleparallel gravity involving coupling between a scalar field with the torsion scalar T and the boundary term . This theory is very useful, since it can reproduce other important well-known scalar field theories in suitable limits. The validity of the first and second law of thermodynamics at the apparent horizon is discussed for any coupling. As examples, we have also explored the validity of those thermodynamics laws in some new cosmological solutions under the theory. Additionally, we have also considered the logarithmic entropy corrected relation and discuss the GSLT at the apparent horizon.