Strong cosmic censorship in charged black-hole spacetimes: As strong as ever

Shahar Hod

doi:10.1016/j.nuclphysb.2019.03.003

paper

Strong cosmic censorship in charged black-hole spacetimes: As strong as ever

arXiv:1801.07261 · doi:10.1016/j.nuclphysb.2019.03.003

Abstract

It is proved that dynamically formed Reissner-Nordström-de Sitter (RNdS) black holes, which have recently been claimed to provide counter-examples to the Penrose strong cosmic censorship conjecture, are characterized by unstable (singular) inner Cauchy horizons. The proof is based on analytical techniques which explicitly reveal the fact that {\it charged} massive scalar fields in the charged RNdS black-hole spacetime are characterized, in the large-coupling regime, by quasinormal resonant frequencies with $ℑ ω^{min} < \frac{1}{2} κ_{+}$ , where $κ_{+}$ is the surface gravity of the black-hole event horizon. This result implies that the corresponding relaxation rate $ψ \sim e^{- ℑ ω^{min} t}$ of the collapsed charged fields is slow enough to guarantee, through the mass-inflation mechanism, the instability of the dynamically formed inner Cauchy horizons. Our results reveal the physically important fact that, taking into account the unavoidable presence of {\it charged} matter fields in dynamically formed {\it charged} spacetimes, non-asymptotically flat RNdS black holes are globally hyperbolic and therefore respect the fundamental strong cosmic censorship conjecture.

7 pages

Strong cosmic censorship in charged black-hole spacetimes: As strong as ever

Abstract

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