Abstract
AbstractWe 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.
Funder
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
Fundação Cearense de Apoio ao Desenvolvimento Científico e Tecnológico
Conselho Nacional de Desenvolvimento Científico e Tecnológico
Alexander von Humboldt-Stiftung
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)
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