2012/03/31 by MUBASHER JAMIL, Mubasher Jamil, D. Momeni +6 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Relativity and Gravitational Theory #gr-qc
paper · pdf · doi:10.1142/s0218271812500654
published as International Journal of Modern Physics D, Vol. 21, (2012) 1250065 · 17 pages, no figure, version accepted for publication in "Int. J. Mod. Phys. D"
arxiv created 2012/07/02 · arxiv updated 2012/07/17
Motivated by some earlier works \citepavon,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.