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arXiv 0812.0399gr-qchep-th
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量子引力中的热力学和相

Thermodynamics and phases in quantum gravity

Viqar Husain, R. B. Mann

摘要:

给出了一种研究量子引力对黑洞热力学影响的方法。它结合了引力坍缩的量子框架和能量与表面引力的准局部定义。我们的论证表明:(i)黑洞的比热在普朗克尺度附近相变后变为正值,(ii)它的熵获得对数修正,(iii)质量损失率被修正,使得霍金辐射在普朗克尺度附近停止。这些结果本质上是由于实现了量子引力的基本离散性,并且在这个意义上是潜在的理论独立的。

英文摘要:

We give an approach for studying quantum gravity effects on black hole thermodynamics. This combines a quantum framework for gravitational collapse with quasi-local definitions of energy and surface gravity. Our arguments suggest that (i) the specific heat of a black hole becomes positive after a phase transition near the Planck scale,(ii) its entropy acquires a logarithmic correction, and (iii) the mass loss rate is modified such that Hawking radiation stops near the Planck scale. These results are due essentially to a realization of fundamental discreteness in quantum gravity, and are in this sense potentially theory independent.

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