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

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. 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-Nordström 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

On the classification of asymptotic quasinormal frequencies for {$d$}-dimensional black holes and quantum gravity

“…To finish, let us stress that the study of asymptotic quasinormal modes is an active area of present research and has also led to many other applications besides the ones we have studied in this paper. Some recent references one should keep in mind include [106,65,45,64,37,34,71,63,62,91].…”

Quasinormal modes of nonlinear electromagnetic black holes from unstable null geodesics

“…In [9] applying the ideas of Cardoso, were determined the QNMs of the regular magnetic black hole model proposed by Bardeen, which is a solution of nonlinear electrodynamics coupled to Einstein gravity. QNMs of nonlinear electromagnetic black holes were computed, using the WKB method, for the Born-Infeld black hole in [10] and for the Bronnikov black hole in [11]. Our study differs from previous ones in the fact that we use the effective metric to determine the unstable circular orbits followed by light rays.…”

Decay of Massless Dirac Field Around the Born–infeld Black Hole

“…In comparison with the Reissner-Nordstrom black hole, the decay rates are faster for the Born-Infled black hole. It is interesting to note that for gravitational and scalar perturbations, the fields of the Born-Infeld black hole also decayed faster as noted in [47] [48].…”

“…Gravitational perturbation and the scalar perturbations of the Born-Infeld black hole were studied by Fernando in [47] [48]. The equations were shown to be simplified to a Schrodinger type equation as for the spinor 1/2 field studied here.…”