https://doi.org/10.1140/epjc/s10052-022-10554-z
Regular Article - Theoretical Physics
Extreme dilaton black holes in 2 + 1 dimensions: quasinormal modes
1
Department of Physics and Geology, Northern Kentucky University, 41099, Highland Heights, KY, USA
2
Facultad de Ingeniería y Ciencias, Universidad Diego Portales, Avenida Ejército Libertador 441, Casilla 298-V, Santiago, Chile
3
Departamento de Física, Facultad de Ciencias, Universidad de La Serena, Avenida Cisternas 1200, La Serena, Chile
Received:
12
April
2022
Accepted:
26
June
2022
Published online:
8
July
2022
We study neutral massless scalar field perturbations around an extreme dilaton black hole in 2 + 1 dimensions: the wave equations of the massless scalar field is shown to be exactly solvable in terms of Whittaker functions. Thus, the quasinormal modes are computed exactly and shown to be purely imaginary: we show the existence of stable and unstable modes. Interestingly, the quasinormal modes do not depend on the black holes parameters and the fundamental mode is always unstable and depends only on the parameters of the test field. Also, we determine the quasinormal frequencies via the improved asymptotic iteration method which shows a good agreement with the analytical results.
© The Author(s) 2022
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