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Generalized Second Law of Thermodynamics for FRW Cosmology with Power-Law Entropy Correction

General Relativity and Quantum Cosmology 2012-07-03 v3

Abstract

In this work, we have considered the power law correction of entropy on the horizon. If the flat FRW Universe is filled with the n components fluid with interactions, the GSL of thermodynamics for apparent and event horizons have been investigated for equilibrium and non-equilibrium cases. If we consider a small perturbation around the de Sitter space-time, the general conditions of the validity of GSL have been found. Also if a phantom dominated Universe has a polelike type scale factor, the validity of GSL has also been analyzed. Further we have obtained constraints on the power-law parameter {\alpha} in the phantom and quintessence dominated regimes. Finally we obtain conditions under which GSL breaks down in a cosmological background.

Keywords

Cite

@article{arxiv.1111.3858,
  title  = {Generalized Second Law of Thermodynamics for FRW Cosmology with Power-Law Entropy Correction},
  author = {Ujjal Debnath and Surajit Chattopadhyay and Ibrar Hussain and Mubasher Jamil and Ratbay Myrzakulov},
  journal= {arXiv preprint arXiv:1111.3858},
  year   = {2012}
}

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10 pages