The fastest relaxation rate of higher-dimensional Reissner--Nordstr\"{o}m black hole

TL;DR

This paper analytically calculates quasinormal frequencies of higher-dimensional Reissner--Nordström black holes, revealing they relax faster than Schwarzschild black holes in the eikonal regime, which differs from four-dimensional cases.

Contribution

It provides the first analytical calculation of quasinormal modes for higher-dimensional RN black holes and uncovers their unique relaxation properties.

Findings

Higher-dimensional RN black holes have the fastest relaxation rates in the Schwarzschild limit.

The relaxation rate behavior differs from four-dimensional black holes with charge.

Analytical expressions for quasinormal frequencies in the eikonal regime are derived.

Abstract

In the eikonal regime, we analytically calculate quasinormal resonance frequencies for massless scalar perturbations of the higher-dimensional Reissner--Nordstr\"{o}m (RN) black holes. Remarkably, we find that the higher-dimensional RN black holes coupled with the massless scalar fields have the fastest relaxation rates in the Schwarzschild limit, this is qualitatively different from the four-dimensional case where the black hole with non-vanishing charge has the fastest relaxation rate.