Greybody factor for a scalar field coupling to Einstein's tensor

TL;DR

This paper investigates how a scalar field coupled to Einstein's tensor affects greybody factors and Hawking radiation in Reissner-Nordström black holes, revealing increased absorption and radiation with stronger coupling and black hole charge.

Contribution

It introduces the effects of Einstein tensor coupling on greybody factors and Hawking radiation, highlighting modifications from standard results and the influence of black hole charge.

Findings

Absorption probability increases with coupling constant.

Hawking radiation is enhanced by the coupling.

Black hole charge amplifies effects for strong coupling.

Abstract

We study the greybody factor and Hawking radiation for a scalar field coupling to Einstein's tensor in the background of Reissner-Nordstr\"om black hole in the low-energy approximation. We find that the presence of the coupling terms modifies the standard results in the greybody factor and Hawking radiation. Our results show that both the absorption probability and Hawking radiation increase with the coupling constant. Moreover, we also find that for the stronger coupling, the charge of black hole enhances the absorption probability and Hawking radiation of the scalar field, which is different from those of ones without coupling to Einstein's tensor in the black hole spacetime.