Quansinormal modes of static and spherically symmetric black holes with the derivative coupling

TL;DR

This paper explores how derivative coupling influences the quasinormal modes of various static, spherically symmetric black holes, revealing a qualitative similarity in mode frequency trends with overtone number and coupling strength.

Contribution

It is the first study to analyze the effect of derivative coupling on quasinormal modes across multiple black hole types beyond vacuum solutions.

Findings

Derivative coupling affects quasinormal mode frequencies.

The influence mimics the trend of overtone numbers.

Qualitative similarity observed in frequency trends with coupling and overtone.

Abstract

We investigate the quasinormal modes of a class of static and spherically symmetric black holes with the derivative coupling. The derivative coupling has rarely been paid attention to the study of black hole quasinormal modes. Specifically, we study the effect of derivative coupling on the quasinormal modes for four kinds of black holes. They are Reissner-Nordstrom black holes, Bardeen black holes, noncommunicative geometry inspired black holes and dilaton black holes. These black holes are not the solutions of vacuum Einstein equations which guarantees the effect of derivative coupling is not trivial. We find the influence of derivative coupling on the quasinormal modes roughly mimics the overtone numbers. In other words, there is a qualitative similarity in the trend of quasinormal modes frequencies due to increasing either the coupling constant and the overtone number.