Gravitational perturbation and quasi-normal modes of charged black holes in Einstein-Born-Infeld gravity
arXiv:hep-th/0407062 · doi:10.1007/s10714-005-0044-9
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.
22 pages and 10 figures, references added, figures are replaced and few changes to text is done
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