Decay of charged scalar field around a black hole: quasinormal modes of R-N, R-N-AdS and dilaton black holes

TL;DR

This paper investigates the decay behavior of charged and neutral scalar perturbations around various black holes, revealing that during quasinormal ringing, neutral perturbations decay slower, contrasting with late-time decay patterns.

Contribution

It demonstrates that during quasinormal ringing, neutral perturbations decay slower than charged ones in RN, RN-AdS, and dilaton black holes, providing new insights into black hole perturbation dynamics.

Findings

Neutral perturbations decay slower during quasinormal ringing.

Charged perturbations dominate at very late times.

Nearly extreme RN black holes show similar damping times for charged and neutral perturbations.

Abstract

It is well known that the charged scalar perturbations of the Reissner-Nordstrom metric will decay slower at very late times than the neutral ones, thereby dominating in the late time signal. We show that at the stage of quasinormal ringing, on the contrary, the neutral perturbations will decay slower for RN, RNAdS and dilaton black holes. The QN frequencies of the nearly extreme RN black hole have the same imaginary parts (damping times) for charged and neutral perturbations. An explanation of this fact is not clear but, possibly, is connected with the Choptuik scaling.