https://doi.org/10.1140/epjc/s10052-021-09961-5
Regular Article - Theoretical Physics
On the Schwarzschild-Anti-de Sitter black hole with an f(R) global monopole
Theoretical Astrophysics, Institute for Astronomy and Astrophysics, University of Tübingen, 72076, Tübingen, Germany
a horacio.santana.vieira@hotmail.com, horacio.santana-vieira@tat.uni-tuebingen.de
Received:
20
October
2021
Accepted:
19
December
2021
Published online:
29
December
2021
In this work, we follow the recently revisited f(R) theory of gravity for studying the interaction between quantum scalar particles and the gravitational field of a generalized black hole with an f(R) global monopole. This background has a term playing the role of an effective cosmological constant, which permits us to call it as Schwarzschild-Anti-de Sitter (SAdS) black hole with an f(R) global monopole. We examine the separability of the Klein–Gordon equation with a non-minimal coupling and then we discuss both the massless and massive cases for a conformal coupling. We investigate some physical phenomena related to the asymptotic behavior of the radial function, namely, the black hole radiation, the quasibound states, and the wave eigenfunctions.
© The Author(s) 2021
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