Thermodynamics of a Schwarzschild Black Hole in Phantom Cosmology with Entropy Corrections

Abstract

Motivated by some earlier works \cite{pavon,sadjadi} dealing with the study of generalized second law (GSL) of thermodynamics for a system comprising of a Schwarzschild black accreting a test non-self-gravitating fluid namely phantom energy in FRW universe, we extend them when the entropy of horizons of black hole and the cosmological undergo quantum corrections. Two types of such corrections are relevant here including logarithmic and power-law, while both are motivated from different theoretical backgrounds. We obtain general mathematical conditions for the validity of GSL in each case. Further we find that GSL restricts the mass of black hole for accretion of phantom energy. As such we obtain upper bounds on the mass of black hole above which the black hole cannot accrete the phantom fluid, otherwise the GSL is violated.

17 pages, no figure, version accepted for publication in "Int. J. Mod. Phys. D"

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Cited by in corpus (7)

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• Noether symmetry of F(T) cosmology with quintessence and phantom scalar fields
• Dynamics of Particles Around a Schwarzschild-like Black Hole in the Presence of Quintessence and Magnetic Field
• Thermodynamics of higher dimensional black holes with higher order thermal fluctuations
• Energy conditions in generalized teleparallel gravity models
• Nonlinear Magnetically Charged Black Holes with Phantom Global Monopoles: Thermodynamics, Geodesics, Quasinormal Modes, and Grey-Body Factors
• Generalized second law of thermodynamics in QCD ghost f(G) gravity