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arXiv 0811.1548gr-qcastro-phhep-th
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潮汐荷电黑洞的几何热力学

Geometro-thermodynamics of tidal charged black holes

László Árpád Gergely, Narit Pidokrajt, Sergei Winitzki

摘要:

带潮汐电荷的球对称真空膜黑洞的特征是它们的质量m和潮汐电荷q,这是5维外尔曲率的印记。当q>0时,它们在形式上与广义相对论的Reissner-Nordström黑洞相同。我们研究了潮汐荷电黑洞的热力学和热力学几何,并讨论了它们与Reissner-Nordström黑洞的异同。作为类似的结果,我们证明了(当q>0时)潮汐荷电黑洞的热容在参数空间的一组测度零上发散,然而Ruppeiner度规的正则性和Poincaré稳定性分析都表明在这些点上没有相变.热力学状态空间不同表明基础统计模型可能不同。我们发现,q<0的参数范围,这增强了膜上的引力的本地化,是物理上的首选。最后,我们第一次约束的可能范围内的潮汐电荷的热力学限制引力辐射效率在黑洞合并。

英文摘要:

Tidal charged spherically symmetric vacuum brane black holes are characterized by their mass m and tidal charge q, an imprint of the 5-dimensional Weyl curvature. For q>0 they are formally identical to the Reissner-Nordström black hole of general relativity. We study the thermodynamics and thermodynamic geometries of tidal charged black holes and discuss similarities and differences as compared to the Reissner-Nordström black hole. As a similarity, we show that (for q>0) the heat capacity of the tidal charged black hole diverges on a set of measure zero of the parameter space, nevertheless both the regularity of the Ruppeiner metric and a Poincaré stability analysis shows no phase transition at those points. The thermodynamic state spaces being different indicates that the underlying statistical models could be different. We find that the q<0 parameter range, which enhances the localization of gravity on the brane, is thermodynamically preferred. Finally we constrain for the first time the possible range of the tidal charge from the thermodynamic limit on gravitational radiation efficiency at black hole mergers.

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