Scalar quasinormal modes for 2+1-dimensional Coulomb like AdS black holes from non lineal electrodynamics

Abstract

We study the propagation of scalar fields in the background of $2+1$-dimensional Coulomb like AdS black holes, and we show that such propagation is stable under Dirichlet boundary conditions. Then, we solve the Klein-Gordon equation by using the pseudospectral Chevyshev method, and we find the quasinormal frequencies. Mainly, we find that the quasinormal frequencies are purely imaginary for a null angular number and they are complex and purely imaginary for a non null value of the angular number, which depend on the black hole charge, angular number and overtone number. On the other hand, the effect of the inclusion of a Coulomb like field from non lineal electrodynamics to General Relativity for a vanishing angular number is the emergence of two branches of quasinormal frequencies in contrast with the static BTZ black hole.

Corrected version, and references added

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Cited by in corpus (7)

• Quasinormal modes of massive scalar fields in four-dimensional wormholes: anomalous decay rate
• Scalar field instabilities in charged BTZ black holes
• Extreme Dilaton Black Holes in 2 +1 Dimensions: Quasinormal modes
• Quasinormal modes of charged BTZ black holes
• Aspects of regular and singular electromagnetic-generalized-quasitopological-gravities black holes in (2+1) dimensions
• Lower dimensional black holes in nonlinear electrodynamics: causal structure and scalar perturbations
• Spectral Bifurcations in Quasinormal Modes of Regular BTZ Black Holes