Stability and quasi-normal modes of charged black holes in Born-Infeld gravity

TL;DR

This paper investigates the stability and quasi-normal modes of charged black holes in Born-Infeld gravity, revealing stability and analyzing mode behavior with various parameters using the WKB method.

Contribution

It provides the first detailed analysis of scalar perturbations and quasi-normal modes for Born-Infeld black holes, comparing their stability with Reissner-Nordstrom black holes.

Findings

Black holes are stable under scalar perturbations.

Quasi-normal modes depend on non-linear parameter, temperature, scalar mass, and spherical index.

Mode behavior differs from linear electrodynamics case.

Abstract

In this paper we study the stability and quasi-normal modes of scalar perturbations of black holes. The static charged black hole considered here is a solution to Born-Infeld electrodynamics coupled to gravity. We conclude that the black hole is stable. We also compare the stability of it with its linear counter-part Reissner-Nordstrom black hole. The quasi-normal modes are computed using the WKB method. The behavior of these modes with the non-linear parameter, temperature, mass of the scalar field and the spherical index are analyzed in detail.