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

Abstract

It has been shown recently that the strong cosmic censorship conjecture is violated by near-extremal Reissner-Nordström-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.

27 pages, 12 figures. v2: i) minor improvements of a few discussions; ii) checked that, when overlap occurs, our numerical results agree with those of arXiv:1808.03635