Kazuharu Bamba, Mubasher Jamil, D. Momeni, Ratbay Myrzakulov
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 hole accreting a test non-self-gravitating fluid namely phantom energy in the Friedmann-Robertson-Walker (FRW) universe, we extend them when the entropy of the black hole and cosmological horizons undergo quantum corrections. Two types of such corrections relevant here include 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.
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http://arxiv.org/abs/1203.2103
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