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

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

2004-07-08

arxiv.org/abs/hep-th/0407062v2

Gen.Rel.Grav. 37 (2005) 585-604

Physics

High Energy Physics

High Energy Physics - Theory

22 pages and 10 figures, references added, figures are replaced and changes to text

Scientific paper

10.1007/s10714-005-0044-9

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. The effective potentials for axial perturbations are derived and discussed. The quasi normal modes for the gravitational perturbations are computed using a 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.

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