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arXiv · 2110.10424

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

H. S. Vieira
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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.

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H. S. Vieira. 2021-10-20. On the Schwarzschild-Anti-de Sitter black hole with an f(R) global monopole. https://doi.org/10.1140/epjc%2Fs10052-021-09961-5

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