论文标题
Reissner-Nordström-Desitter Spacetime的Cauchy Horizon的量子应力张量
Quantum stress tensor at the Cauchy horizon of Reissner-Nordström-deSitter spacetime
论文作者
论文摘要
强大的宇宙审查猜想提出，从某些考奇表面上的通用初始数据开始，爱因斯坦方程的溶液不应跨该表面的依赖性域的边界扩展。对于Reissner-Nordström-De保姆时空的情况，这意味着在接近该边界时，任何扰动都应充分炸毁，称为Cauchy Horizon。但是，最近的结果表明，对于高电荷的黑洞，经典的标量扰动允许违反强大的宇宙审查制度。在最近的论文Arxiv：1912.06047中，我们两个人认为，量子效应将恢复黑洞参数的通用值的审查制度。但是，由于实际限制，仅针对少数参数计算出差异的精确形式。在这里，我们使用替代性，更有效的半分析方法进行彻底的参数扫描。我们的分析证实了ARXIV：1912.06047，从某种意义上说，量子应力张量的差异很大。但是，可以通过更改场或时空参数的质量来改变发散的符号，从而导致考奇（Cauchy）地平线上的奇异性截然不同。
The strong cosmic censorship conjecture proposes that starting from generic initial data on some Cauchy surface, the solutions of the Einstein equation should not be extendable across the boundary of the domain of dependence of that surface. For the case of the Reissner-Nordström-de Sitter spacetime this means that any perturbation should blow up sufficiently badly when approaching this boundary, called the Cauchy horizon. However, recent results indicate that for highly charged black holes classical scalar perturbations allow for a violation of strong cosmic censorship. In a recent paper arXiv:1912.06047, two of us have argued that quantum effects will restore censorship for generic values of the black hole parameters. But, due to practical limitations, the precise form of the divergence was only calculated for a small number of parameters. Here we perform a thorough parameter scan using an alternative, more efficient semi-analytic method. Our analysis confirms arXiv:1912.06047 in the sense that the quantum stress tensor is found to diverge badly generically. However, the sign of the divergence can be changed by changing the mass of the field or the spacetime parameters, leading to a drastically different type of singularity on the Cauchy horizon.
