Quantum stress tensor at the Cauchy horizon of the Reissner–Nordström–de Sitter spacetime
Stefan Hollands, Christiane Klein, Jochen Zahn
Abstract
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 [S. Hollands et al., Classical Quantum Gravity 37, 115009 (2020)], 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 semianalytic method. Our analysis confirms [S. Hollands et al., Classical Quantum Gravity 37, 115009 (2020)] 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.