arXiv 2401.030982024-01gr-qc

旋转黑洞内部的Hawking辐射

Hawking radiation inside a rotating black hole

Tyler McMaken, Andrew J. S. Hamilton

备注：: 29 pages, 12 figures, 2 appendices
发表信息：: Phys. Rev. D 109, 065023 (2024)
DOI：: 10.1103/PhysRevD.109.065023

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AI总结：

本文将Kerr黑洞的Hawking效应分析推广至事件视界内外的自由下落观测者，发现有效温度在事件视界保持正则但在内部Cauchy视界发散，且不同观测者的辐射感知差异显著。

摘要：

在半经典引力中，量子场粒子数算符的真空期望值${\langle\hat{N}\rangle}$使得在黑洞附近产生热辐射的感知。这一Hawking效应此前仅针对远离Kerr黑洞的渐近观测者进行了检验；在此我们将分析推广至位于Kerr事件视界外和内部的各类自由下落观测者。值得注意的是，我们发现对于事件视界处的观测者，${\langle\hat{N}\rangle}$分布的有效温度保持正则，但对于到达内部Cauchy视界的观测者，该温度变为负值且发散。此外，不同类别观测者对Hawking辐射的感知差异极大，尽管光谱通常为灰体，其强度随黑洞自旋减小，而在望向黑洞阴影边缘时温度升高。

英文摘要：

In semiclassical gravity, the vacuum expectation value ${\langle\hat{N}\rangle}$ of the particle number operator for a quantum field gives rise to the perception of thermal radiation in the vicinity of a black hole. This Hawking effect has been examined only for observers asymptotically far from a Kerr black hole; here we generalize the analysis to various classes of freely falling observers both outside and inside the Kerr event horizon. Of note, we find that the effective temperature of the ${\langle\hat{N}\rangle}$ distribution remains regular for observers at the event horizon but becomes negative and divergent for observers reaching the inner Cauchy horizon. Furthermore, the perception of Hawking radiation varies greatly for different classes of observers, though the spectrum is generally a graybody that decreases in intensity with black hole spin and increases in temperature when looking toward the edges of the black hole shadow.

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