On the Schwarzschild-Anti-de Sitter black hole with an f(R) global monopole

Abstract

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.

13 pages, 7 figures

References in corpus (4)

• Instability of the massive Klein-Gordon field on the Kerr spacetime
• Quasibound states of Schwarzschild acoustic black holes
• $f(R)$ global monopole revisited
• Quasibound states of charged dilatonic black holes

Cited by in corpus (2)

• Instability of the charged massive scalar field on the Kerr-Newman black hole spacetime
• Quasibound States, Stability and Wave Functions of the Test Fields in the Consistent 4D Einstein-Gauss-Bonnet Gravity