Quantum stress tensor at the Cauchy horizon of the Reissner–Nordström–de Sitter spacetime
Quantum stress tensor at the Cauchy horizon of the Reissner–Nordström–de Sitter spacetime
复制标题
赖斯纳-诺德斯特伦-德西特时空柯西视界处的量子应力张量
作者：
S. Hollands;C. Klein;J. Zahn
强宇宙监督猜想提出，从某个柯西曲面上的一般初始数据出发，爱因斯坦方程的解不应该延伸到该曲面依赖域的边界上。对于Reissner-Nordstr“om-de Sitter时空的情况，这意味着任何微扰在接近这个边界（称为柯西视界）时都应该足够严重地爆炸。然而，最近的结果表明，对于高电荷黑洞，经典标量扰动允许违反强宇宙审查。在最近的一篇论文arXiv：1912.06047中，我们中的两个人认为量子效应将恢复对黑洞参数的一般值的审查。但是，由于实际的限制，发散的精确形式只计算了少数参数。在这里，我们使用另一种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，因为量子应力张量被发现普遍严重发散。然而，发散的符号可以通过改变场的质量或时空参数来改变，从而导致柯西视界上完全不同类型的奇点。
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-Nordstr\"om-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.