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arXiv 1203.2103gr-qc
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虚宇宙学中具有熵修正的Schwarzschild黑洞的热力学

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

Mubasher Jamil, D. Momeni, Kazuharu Bamba, Ratbay Myrzakulov

摘要:

受\cite{pavon,sadjadi}关于FRW宇宙中Schwarzschild黑洞吸积一个非自引力流体的广义热力学第二定律(GSL)研究的启发,我们将其推广到黑洞视界熵和宇宙视界熵经量子修正后的情形.两种类型的这种修正是相关的,包括对数和幂律,而这两种修正的动机来自不同的理论背景。我们得到一般的数学条件的有效性GSL在每种情况下。进一步我们发现GSL限制了黑洞的质量,使其吸积幻影能量。因此,我们得到了黑洞的质量上界,超过这个上界,黑洞就不能吸积幻影流体,否则就违反了GSL。

英文摘要:

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.

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