Scalar quasinormal modes for \(2+1\)-dimensional Coulomb-like AdS black holes from nonlinear electrodynamics. (English) Zbl 1483.83034
Summary: 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 Chebyshev method and the Horowitz-Hubeny 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 nonlinear 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.
MSC:
| 83C57 | Black holes |
| 78A60 | Lasers, masers, optical bistability, nonlinear optics |
| 83C80 | Analogues of general relativity in lower dimensions |
| 83C15 | Exact solutions to problems in general relativity and gravitational theory |
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
| 81Q20 | Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory |
| 83C60 | Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism |
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