https://doi.org/10.1140/epjc/s10052-022-10650-0
Regular Article - Theoretical Physics
Quasibound states of scalar fields in the consistent 4D Einstein–Gauss–Bonnet–(Anti-)de Sitter gravity
1
Theoretical Astrophysics, Institute for Astronomy and Astrophysics, University of Tübingen, 72076, Tübingen, Germany
2
Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, CEP 58051-970, João Pessoa, PB, Brazil
3
Grupo de Física Teórica (GFT), Universidade Estadual do Ceará, UECE-FECLI, Iguatu, CE, Brazil
4
Grupo de Física Teórica (GFT), Centro de Ciências e Tecnologia, Universidade Estadual do Ceará, CEP 60714-903, Fortaleza, CE, Brazil
a horacio.santana.vieira@hotmail.com, horacio.santana-vieira@tat.uni-tuebingen.de
Received:
3
June
2022
Accepted:
27
July
2022
Published online:
3
August
2022
We examine the interaction between massless scalar fields and the gravitational field generated by a black hole solution that was recently obtained in the consistent well-defined 4-dimensional Einstein–Gauss–Bonnet gravity with a cosmological constant. In order to do this, we calculate quasibound state frequencies of scalar fields for the spherically symmetric black hole in the consistent 4-dimensional Einstein–Gauss–Bonnet–de Sitter and Anti-de Sitter theories. The expression for the quasibound states is obtained by using the polynomial condition associated to the Heun functions, and their values are overdamped. We also demonstrate the stability of the systems.
© The Author(s) 2022
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