Perturbative and nonperturbative quasinormal modes of 4D Einstein-Gauss-Bonnet black holes
Perturbative and nonperturbative quasinormal modes of 4D Einstein-Gauss-Bonnet black holes
Authors
Aragon, Almendra
Becar, Ramon
Gonzalez, P. A.
Vasquez, Yerko
Becar, Ramon
Gonzalez, P. A.
Vasquez, Yerko
Authors
Date
Datos de publicaciĆ³n:
EUROPEAN PHYSICAL JOURNAL C,Vol.80,,2020
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Abstract
We study the propagation of probe scalar fields in the background of 4D Einstein-Gauss-Bonnet black holes with anti-de Sitter (AdS) asymptotics and calculate the quasinormal modes. Mainly, we show that the quasinormal spectrum consists of two different branches, a branch perturbative in the Gauss-Bonnet coupling constant a and another branch, nonperturbative in a. The perturbative branch consists of complex quasinormal frequencies that approximate the quasinormal frequencies of the Schwarzschild AdS black hole in the limit of a null coupling constant. On the other hand, the nonperturbative branch consists of purely imaginary frequencies and is characterized by the growth of the imaginary part when a decreases, diverging in the limit of null coupling constant; therefore they do not exist for the Schwarzschild AdS black hole. Also, we find that the imaginary part of the quasinormal frequencies is always negative for both branches; therefore, the propagation of scalar fields is stable in this background.