https://doi.org/10.1140/epjc/s10052-022-10865-1
Regular Article - Theoretical Physics
Revisiting the quasinormal modes of the Schwarzschild black hole: Numerical analysis
1
Centro de Ciências Exatas e Tecnológicas, Universidade Federal do Recôncavo da Bahia, Rua Rui Barbosa, 710, 44380-000, Cruz das Almas, Bahia, Brazil
2
Laboratório de Astrofísica Teórica e Observacional, Departamento de Ciências Exatas e Tecnológicas, Universidade Estadual de Santa Cruz, 45650-000, Ilhéus, Bahia, Brazil
3
Centro de Ciências Exatas Naturais e Tecnológicas, Universidade Estadual da Região Tocantina do Maranhão, Rua Godofredo Viana 1300, 65901-480, Imperatriz, Maranhão, Brazil
4
Centro de Ciências Naturais e Humanas, Universidade Federal do ABC, Avenida dos Estados 5001, 09210-580, Santo André, São Paulo, Brazil
5
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Cartagena, Carrera 50 # 24-120, 130015, Cartagena de Indias, Bolívar, Colombia
Received:
18
August
2022
Accepted:
28
September
2022
Published online:
10
October
2022
We revisit the problem of calculating the quasinormal modes of spin 0, 1/2, 1, 3/2, 2, and spin 5/2 fields in the asymptotically flat Schwarzschild black hole spacetime. Our aim is to investigate the problem from the numerical point of view, by comparing some numerical methods available in the literature and still not applied for solving the eigenvalue problems arising from the perturbation equations in the Schwarzschild black hole spacetime. We focus on the pseudo-spectral and the asymptotic iteration methods. These numerical methods are tested against the available results in the literature, and confronting the precision between each other. Besides testing the different numerical methods, we calculate higher overtones quasinormal frequencies for all the investigated perturbation fields in comparison with the known results. Additionally, we obtain purely imaginary frequencies for spin 1/2 and 3/2 fields that are in agreement with analytic results reported previously in the literature. The purely imaginary frequencies for the spin 1/2 perturbation field are exactly the same as the frequencies obtained for the spin 3/2 perturbation field. In turn, the quasinormal frequencies for the spin 5/2 perturbation field are calculated for the very first time, and purely imaginary frequencies are found also in this case. We conclude that both methods provide accurate results and they complement each other.
© The Author(s) 2022
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