Interior Quasinormal Modes and Strong Cosmic Censorship

TL;DR

This paper investigates the relationship between interior and exterior quasinormal modes in black holes, confirming that certain frequency coincidences do not occur, thus supporting previous conclusions about the strong cosmic censorship conjecture.

Contribution

It demonstrates that the expected coincidence of interior and exterior quasinormal frequencies does not occur for RNdS or Kerr-dS black holes, validating earlier results on SCC.

Findings

No coincidence of interior and exterior quasinormal modes in RNdS and Kerr-dS black holes.

Supports the validity of previous conclusions regarding SCC violations.

Clarifies the role of quasinormal mode coincidences in black hole stability.

Abstract

Recent work has argued that the strong cosmic censorship (SCC) conjecture is violated by near-extremal Reissner-Nordstr\"om de Sitter (RNdS) black holes but respected by Kerr-de Sitter black holes. It has also been shown that the conjecture is violated by near-extremal BTZ black holes. The latter result relies on a coincidence between "exterior" and "interior" quasinormal frequencies. If this coincidence were to occur also for RNdS or Kerr-dS then it would significantly modify the conclusions of earlier work. In this paper, it is demonstrated that this coincidence does not occur for RNdS or Kerr-dS and so the conclusions of the earlier work remain valid.