The greybody factor for scalar fields in the Schwarzschild spacetime with an $f(R)$ global monopole

TL;DR

This paper derives the greybody factor for massless scalar fields in Schwarzschild spacetime with an $f(R)$ global monopole, showing how monopole and gravity modifications affect energy emission and absorption.

Contribution

It introduces a new analysis of greybody factors considering both $f(R)$ gravity and global monopoles in Schwarzschild spacetime.

Findings

Monopole and $f(R)$ parameters influence the greybody factor.

Global monopole and $f(R)$ gravity affect energy emission rates.

Alterations in absorption cross section due to monopole and gravity modifications.

Abstract

The greybody factor of massless scalar fields in the four-dimensional Schwarzschild spacetime involving an $f(R)$ global monopole is derived. We show how the monopole parameter and the deviation from the standard general relativity adjust the greybody factor. We also demonstrate that the effects from the global monopole and $f(R)$ gravity theory are manifest in the energy emission rate and the generalized absorption cross section of the scalar fields.