Greybody factor of scalar field from Reissner-Nordstrom-de Sitter black hole

TL;DR

This paper derives a formula for the greybody factor of non-minimally coupled scalar fields in Reissner-Nordstrom-de Sitter black holes, revealing how it behaves at low frequencies and its implications for Hawking radiation spectra.

Contribution

It provides a general expression for the greybody factor in this spacetime, especially in the low frequency approximation, including the zero momentum case.

Findings

Greybody factor tends to zero as frequency squared at low frequencies for non-zero coupling.

Derived formulas for differential energy rate and absorption cross section.

Insights into Hawking radiation spectrum from greybody factor analysis.

Abstract

In this work we derive a general expression for the greybody factor of non-minimally coupled scalar fields in Reissner-Nordstr\"om-de Sitter spacetime in low frequency approximation. In particular case of zero momentum, greybody factor tends to zero in low frequency limit as frequency squared goes to zero for non-vanishing coupling. We also elaborate the significance of the results by giving formulae of differential energy rate and general absorption cross section. The greybody factor gives insight into the spectrum of Hawking radiations.