Strong Cosmic Censorship for a Scalar Field in a Logarithmic-de Sitter Black Hole

TL;DR

This paper examines the validity of strong cosmic censorship in a logarithmic-de Sitter black hole perturbed by scalar fields, showing that nonlinear electromagnetic effects can prevent SCC violation near extremality.

Contribution

It demonstrates that nonlinear electromagnetic effects in a logarithmic-de Sitter black hole can uphold strong cosmic censorship, contrasting with previous models where SCC could be violated.

Findings

NLED effects rescue SCC in near-extremal black holes

Similar behavior observed between logarithmic and Born-Infeld models

SCC violation can be prevented by nonlinear electromagnetic effects

Abstract

It has been shown that the quasinormal modes of perturebated fields can be used to investigate the validity of strong cosmic censorship (SCC). Relevant issues for Reissner-Nordstrom-de Sitter (RNdS) black holes and Born-Infeld-de Sitter (BI-dS) black holes have been discussed. In this paper, we investigate SCC in an asymptotic RN-dS black hole with logarithmic nonlinear electromagnetic field perturbed by massless scalar fields. It has been argued that SCC can be violated in a near-extremal RN-dS black hole. However, we find that the NLED effect can rescue SCC for a near-extremal logarithmic-de Sitter black hole. Compared with Born-Infeld model, we find that the NLED effect have similar behavior.