Strong cosmic censorship for charged de Sitter black holes with a charged scalar field

TL;DR

This paper examines whether adding a charged scalar field to charged de Sitter black holes can uphold the strong cosmic censorship conjecture, finding that violations persist near extremality despite the scalar field's influence.

Contribution

It demonstrates that a charged scalar field does not fully restore strong cosmic censorship in near-extremal charged de Sitter black holes.

Findings

Charged scalar fields improve the situation but do not eliminate violations near extremality.

Violations of strong cosmic censorship occur for perturbations from smooth initial data.

The presence of a charged scalar field does not guarantee the conjecture's validity in all regimes.

Abstract

It has been shown recently that the strong cosmic censorship conjecture is violated by near-extremal Reissner-Nordstr\"om-de Sitter black holes. We investigate whether the introduction of a charged scalar field can rescue strong cosmic censorship. We find that such a field improves the situation but there is always a neighbourhood of extremality in which strong cosmic censorship is violated by perturbations arising from smooth initial data.