Eur. Phys. J. Plus (2014) 129: 189
https://doi.org/10.1140/epjp/i2014-14189-8

Regular Article

Laws of thermodynamics and stability for the ΛCDM f(T) model

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

^* e-mail: msharif.math@pu.edu.pk

Received: 8 May 2014
Revised: 19 June 2014
Accepted: 23 July 2014
Published online: 10 September 2014

Abstract

In this paper, we reconstruct the ΛCDM model for the locally rotationally symmetric Bianchi I universe in f(T) gravity. We explore the laws of thermodynamics and stability for this reconstructed model. The laws of thermodynamics in terms of redshift z for a specific scale factor are investigated by assuming the same temperature inside and outside the apparent horizon. We also discuss the stability of the reconstructed f(T) model for de Sitter and power law solutions through geometric and matter perturbations. These perturbations represent unstable behavior for the de Sitter solution but indicate stable behavior for the power law solution for all values of the model parameter.