The generalized second law of thermodynamics in f R Open image in new window gravity for various choices of scale factorReport as inadecuate




The generalized second law of thermodynamics in f R Open image in new window gravity for various choices of scale factor - Download this document for free, or read online. Document in PDF available to download.

Journal of Theoretical and Applied Physics

, 6:27

First Online: 12 November 2012Received: 20 April 2012Accepted: 11 October 2012

Abstract

The present study is aimed at investigating the validity of the generalized second law GSL of thermodynamics in f R Open image in new window gravity. Choosing f R = R + ξ R μ + ζ R − ν Open image in new window with ξ,μ,ζ, ν > 0 following the study of Nojiri and Odintsov in 2003, we have computed the time derivatives of total entropy for various choices of scale factor pertaining to emergent, intermediate, and logamediate scenarios of the universe. We have taken into account the radii of Hubble, apparent, particle, and event horizons while computing the time derivatives of entropy under various situations being considered. After analyzing through the plots of time derivative of total entropy against cosmic time, it is observed that the derivative always stays at positive level. This indicates the validity of GSL of thermodynamics in the f R Open image in new window gravity irrespective of the choices of scale factor and enveloping horizon.

Keywords f R Open image in new window gravity GSL of thermodynamics Scale factor 98.80.-k 04.50.+h 04.20.-q Electronic supplementary materialThe online version of this article doi:10.1186-2251-7235-6-27 contains supplementary material, which is available to authorized users.

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Author: Rahul Ghosh - Surajit Chattopadhyay

Source: https://link.springer.com/







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