黑洞柯西视界上的大规模量子发散
Massive quantum divergence on the Cauchy horizon of a black hole
浏览论文内容
中文总结 AI 辅助
本文研究带电球对称黑洞内部有质量标量场的量子效应，发现柯西视界上真空极化和应力张量发散，能量通量通常不消失，暗示半经典反作用导致强奇点，但极端极限等特殊情形除外。
中文摘要 AI 辅助
我们研究了带电且球对称（Reissner-Nordström）黑洞内部的一个量子有质量标量场。我们考察了当场处于两种量子态时，黑洞电荷、场质量和耦合常数取不同值时的行为：Hartle-Hawking态（代表处于热平衡的黑洞）和Unruh态（代表通过发射霍金辐射而蒸发的黑洞）。我们证明，真空极化以及量子应力-能量张量的角分量在柯西视界上发散，这与无质量场的情况形成鲜明对比。我们还计算了Eddington-Finkelstein坐标$\u007b u,v\u007d$中的能量通量。我们证明，这些通量在柯西视界上通常不会消失。这尤其意味着，在规则的Kruskal坐标$\u007b U,V\u007d$中，入流通量在柯西视界上（其中$V=0$）像$V^{-2}$一样发散。这种发散表明，通过半经典爱因斯坦方程产生的反作用将导致一个强奇点，而非其较弱的经典对应物。有趣的是，存在例外情况，其中Eddington-Finkelstein坐标中的能量通量消失：（i）在极端极限下（此时黑洞具有最大电荷）；（ii）在参数空间的某些微调区域，其中通量改变符号。
英文摘要
We investigate a quantum massive scalar field in the interior of a charged and spherically-symmetric (Reissner-Nordström) black hole. We examine the behaviour for varying values of the black hole charge, field mass and coupling constant when the field is in two quantum states: Hartle-Hawking (representing a black hole in thermal equilibrium) and Unruh (representing a black hole evaporating via the emission of Hawking radiation). We show that the vacuum polarization as well as the angular components of the quantum stress-energy tensor diverge on the Cauchy horizon, in stark contrast to what happens for massless fields. We also calculate the energy fluxes in Eddington-Finkelstein coordinates $\{u,v\}$. We show that these fluxes on the Cauchy horizon do not generically vanish. This implies, in particular, that in regular, Kruskal coordinates $\{U,V\}$ the ingoing flux diverges like $V^{-2}$ on the Cauchy horizon (where $V=0$). This divergence suggests that its backreaction via the semiclassical Einstein equations would yield a strong singularity, as opposed to its weaker, classical counterpart. Interestingly, there are exceptions, in which the energy fluxes in Eddington-Finkelstein coordinates vanish: (i) in the extremal limit (where the black hole is maximally charged); (ii) certain fine-tuned regions of parameter space, where the fluxes change sign.
发表机构
- Universität Leipzig（莱比锡大学）
- University College Dublin（都柏林大学学院）
- Centro Brasileiro de Pesquisas Físicas (CBPF)（巴西物理研究中心）
- Dublin City University（都柏林城市大学）
机构由 AI 辅助整理，请以论文原文为准。
