Stability of highly-charged Reissner-Nordstr\"om black holes to charged scalar perturbations

TL;DR

This paper demonstrates that highly-charged Reissner-Nordström black holes with charge ratios between 8/9 and 1 are stable when subjected to charged scalar perturbations, contributing to understanding black hole stability.

Contribution

It provides a stability analysis for highly-charged Reissner-Nordström black holes within a specific charge range, which was previously less understood.

Findings

Black holes with 8/9 < (Q/M)^2 < 1 are stable to charged scalar perturbations.

The stability extends previous results to a higher charge regime.

Supports the robustness of Reissner-Nordström black holes against certain perturbations.

Abstract

It is shown that highly-charged Reissner-Nordstr\"om black holes in the charge interval $8/9<{(Q/M)}^2<1$ are stable to charged scalar perturbations.