Gravitational perturbation and quasi-normal modes of charged black holes in Einstein-Born-Infeld gravity

TL;DR

This paper investigates the gravitational perturbations and quasi-normal modes of charged black holes in Einstein-Born-Infeld gravity, revealing how non-linear electrodynamics influences black hole stability and oscillation characteristics.

Contribution

It introduces the analysis of gravitational perturbations and quasi-normal modes of Einstein-Born-Infeld black holes, comparing them with Reissner-Nordstrom black holes and exploring effects of non-linear electrodynamics.

Findings

Quasi-normal modes depend on the non-linear parameter and spherical index.

Effective potentials for axial perturbations are derived and analyzed.

Black hole stability is discussed in the context of Born-Infeld electrodynamics.

Abstract

Born-Infeld electrodynamics has attracted considerable interest due to its relation to strings and D-branes. In this paper the gravitational perturbations of electrically charged black holes in Einstein-Born-Infeld gravity are studied. Effective potentials for axial perturbations are derived and discussed. The quasi normal modes for the gravitational perturbations are computed using the WKB method. The modes are compared with those of the Reissner-Nordstrom black hole. The relation of the quasi normal modes with the non-linear parameter and the spherical index are also investigated. Comments on stability of the black hole and on future directions are made.