Strong cosmic censorship in de Sitter space

TL;DR

This paper investigates the validity of the strong cosmic censorship hypothesis in Kerr-de Sitter black holes, showing that for non-extremal cases, perturbations decay slowly enough to uphold the hypothesis, unlike in Reissner-Nordstrom-de Sitter black holes.

Contribution

It extends the analysis of cosmic censorship to Kerr-de Sitter black holes, demonstrating that the hypothesis holds for non-extremal parameters through decay rate analysis of perturbations.

Findings

Strong cosmic censorship is upheld in Kerr-de Sitter black holes.

Perturbations decay slowly enough to prevent extendibility across the Cauchy horizon.

Results cover both scalar and gravitational perturbations.

Abstract

Recent work indicates that the strong cosmic censorship hypothesis is violated by nearly extremal Reissner-Nordstrom-de Sitter black holes. It was argued that perturbations of such a black hole decay sufficiently rapidly that the perturbed spacetime can be extended across the Cauchy horizon as a weak solution of the equations of motion. In this paper we consider the case of Kerr-de Sitter black holes. We find that, for any non-extremal value of the black hole parameters, there are quasinormal modes which decay sufficiently slowly to ensure that strong cosmic censorship is respected. Our analysis covers both scalar field and linearized gravitational perturbations.