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arXiv 2602.09244gr-qc
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通过简单推导计算旋转黑洞的温度

Temperature of a spinning black hole via a simple derivation

Stanford University(斯坦福大学);San Francisco State University(旧金山州立大学)

Ronald J. Adler

AI总结:

本文通过经典广义相对论和热力学推导克尔黑洞温度,旨在教学用途,强调小黑洞蒸发及暗物质可能来源

摘要:

根据当前理论,黑洞具有非零温度,因此像任何黑体一样辐射。这一显著结果最初由霍金为非旋转黑洞使用广义相对论描述黑洞引力场和量子场论描述辐射而证明。此后,旋转克尔黑洞的温度已得到计算。也有多项启发式推导。在本工作中,我们仅使用经典广义相对论和热力学推导克尔旋转黑洞的温度。它非常类似于参考文献11,但数学上更简单且更自洽。我们的目的是教学性的,以便更易于让学生和非专业人士理解。我们还进一步强调小黑洞的预期爆炸蒸发,尚未观测到,这将是了解普朗克尺度物理的几乎唯一窗口。最后,我们讨论了宇宙暗物质可能由小原始黑洞残余构成的想法。

英文摘要:

According to current theory a black hole has a nonzero temperature and thus radiates like any black body. This remarkable result was first shown by Hawking for a non-spinning black hole using general relativity to describe the black hole gravitational field and quantum field theory to describe the radiation. Since then the temperature of a spinning Kerr black hole has been calculated. There have also been many heuristic derivations for the temperature. In this work we derive the temperature of a Kerr spinning black hole using only classical general relativity and thermodynamics. It is very similar to Ref. 11 but is mathematically simpler and more self-contained. Our purpose is mainly pedagogical, to be more accessible to students and non-specialists with a knowledge of general relativity. We also call further attention to the expected explosive evaporation of small black holes, not yet observed, which would be an almost unique window into Planck scale physics. Finally, we discuss the idea that the cosmological dark matter, whose nature is currently unknown, may be composed of small primordial black hole remnants.

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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