Scalar and spinor quasinormal modes of an $f(R)$ global monopole

TL;DR

This paper calculates scalar and spinor quasinormal modes around an $f(R)$ global monopole, highlighting the influence of the $f(R)$ gravity parameter and recovering Schwarzschild results in the appropriate limit.

Contribution

It introduces a method to compute quasinormal modes in $f(R)$ gravity backgrounds, emphasizing the role of the parameter $ ho_0$ and connecting to known Schwarzschild results.

Findings

The parameter $ ho_0$ significantly affects quasinormal mode frequencies.

Results reduce to Schwarzschild black hole modes when $ ho_0 ightarrow 0$.

The study provides insights into gravitational wave signatures in modified gravity.

Abstract

The quasinormal modes for scalar and spinor fields in the background spacetime corresponding to an $f(R)$ global monopole are calculated using the WKB approximation. In the obtained results we emphasize the role played by the parameter $\psi_{0}$, associated with the $f(R)$ gravity. We discuss the appropriate limit $\psi_{0} \rightarrow 0$, in which case the results concerning to the Schwarzschild black hole are obtained, as it should be expected.