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arXiv 1002.1275hep-thgr-qc
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从能量均分和全息术研究黑洞热力学

Thermodynamics of Black Holes from Equipartition of Energy and Holography

Yu Tian, Xiaoning Wu

摘要:

引入相对论情形下的引力势作为Verlinde使用的Wald势的替代,当Verlinde的思想应用于黑洞情形时,Wald势再现了熟悉的熵/面积关系S=A/4(以自然单位表示)。在使用均分规则时,也可以得到科马尔质量(能量)的正确形式,这导致了爱因斯坦方程。结果表明,在球形情况下,我们的熵公式与Verlinde的熵变公式一致。然后讨论了定态时空,特别是Kerr-Newman黑洞,证明了在黑洞的视界上,均分规则只涉及约化质量,而不是ADM质量.

英文摘要:

A gravitational potential in the relativistic case is introduced as an alternative to Wald's potential used by Verlinde, which reproduces the familiar entropy/area relation S=A/4 (in the natural units) when Verlinde's idea is applied to the black hole case. Upon using the equipartition rule, the correct form of the Komar mass (energy) can also be obtained, which leads to the Einstein equations. It is explicitly shown that our entropy formula agrees with Verlinde's entropy variation formula in spherical cases. The stationary space-times, especially the Kerr-Newman black hole, are then discussed, where it is shown that the equipartition rule involves the reduced mass, instead of the ADM mass, on the horizon of the black hole.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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