Generalized second law of thermodynamics in the emergent universe for some viable models of f(T) gravity

Abstract

The present study is motivated by the study of reference [1], where the generalized second law of thermodynamics has been investigated for a flat FRW universe for two viable models of $f(T)$ gravity. In the present work, we have considered a non-flat universe and accordingly studied the behaviors of equation of state parameter and deceleration parameter. 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 pertaining to an emergent universe we have investigated the sign of the time derivatives of total entropy for three viable models of $f(T)$ gravity.

arXiv comment12 pages, 17 figures. arXiv admin note: text overlap with arXiv:1201.2511 by other authors

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• Cosmological horizon entropy and generalised second law for flat Friedmann Universe
• Thermodynamics of Shearing Massless Scalar Field Spacetimes is Inconsistent With the Weyl Curvature Hypothesis
• Renyi Holographic Dark Energy models in Teleparallel gravity
• Three-Dimensional Hairy Black Holes in Teleparallel Gravity
• A Model of Emergent Universe in Inhomogeneous Space-Time
• Power Law and Logarithmic Ricci Dark Energy Models in Horava-Lifshitz Cosmology
• The generalized second law of thermodynamics for the interacting in $f(T)$ gravity
• A comprehensive analysis of Barrow holographic Chaplygin gas model reconstruction and its cosmological consequences
• Thermodynamics of a Non-canonical $f(\bar{R},\bar{T})$ gravity