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arXiv 1502.02737gr-qchep-th
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两个视界的故事

A Tale of Two Horizons

Sean Stotyn

AI总结:

本文研究四维球对称黑洞极端极限下重合视界与视界间体积,通过分析 Schwarzschild de Sitter 的 NHG 对称性与几何映射,指出有限体积解释不成立并讨论其熵含义。

摘要:

我重新考察了四维时空中球对称黑洞在极端极限下重合视界及其间体积的命运,为具体起见聚焦于 Schwarzschild de Sitter 黑洞。结果表明,极限时空中传统上被等同于非极端黑洞的极限事件视界的两个 Killing 视界,实际上是由近视界几何(NHG)的一种增强对称性生成的。这瓦解了关于两视界之间的四维体积在极端极限下保持有限的解释。NHG 被重新解释为简并黑洞视界的切时空,并且 Killing 向量和 Killing 视界等几何对象在体与 NHG 之间得到了细致映射。随后讨论了这对极端黑洞熵的影响。

英文摘要:

I revisit the fate of coinciding horizons and the volume between them in the extremal limit of spherically symmetric black holes in four spacetime dimensions, focusing on the Schwarzschild de Sitter black hole for concreteness. The two Killing horizons in the limit spacetime that are traditionally identified with the limiting event horizons of the non-extremal black hole are shown to instead be generated by an enhanced symmetry of the near horizon geometry (NHG). This dismantles the interpretation of the 4-volume between the horizons remaining finite in the extremal limit. The NHG is reinterpreted as a tangent spacetime to the degenerate black hole horizon, and geometrical objects, such as Killing vectors and Killing horizons, are carefully mapped between the bulk and the NHG. The implications for extremal black hole entropy are then discussed.

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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