Bounding the greybody factors for the Reissner-Nordstr\"{o}m black holes

TL;DR

This paper derives bounds on the greybody factors for Reissner-Nordström black holes using transfer matrices, revealing that black hole charges serve as effective barriers affecting Hawking radiation.

Contribution

It introduces a method to bound greybody factors for charged black holes using transfer matrices, providing new insights into their radiation properties.

Findings

Charges act as effective barriers for Hawking radiation.

Bounds on greybody factors are derived analytically.

Black hole charge influences radiation transmission.

Abstract

A black hole can emit radiation called Hawking radiation. Such radiation seen by an observer outside the black hole differs from the original radiation near the horizon of the black hole by the so-called "greybody factor". In this paper, the bounds of the greybody factors for the Reissner-Nordstr\"{o}m black holes are obtained. These bounds can be derived by using the 2 x 2 transfer matrices. It is found that the charges of black holes act as good barriers.