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

TL;DR

This paper explores the interaction of quantum scalar particles with a Schwarzschild-Anti-de Sitter black hole featuring an f(R) global monopole, analyzing wave behavior, radiation, and bound states in this modified gravity context.

Contribution

It introduces a study of quantum scalar fields around a novel f(R) gravity black hole with a global monopole, including separability of the Klein-Gordon equation and physical phenomena analysis.

Findings

Analysis of Klein-Gordon equation separability in this background

Investigation of black hole radiation and quasibound states

Discussion of wave eigenfunctions and asymptotic behavior

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.