On Thermal Radiation of Black Holes

TL;DR

This paper calculates the frequency-dependent absorption and emission of Hawking radiation from non-rotating black holes, showing that geometrical optics and Kirchhoff's law effectively estimate total emission power.

Contribution

It introduces a method combining the electrodynamic membrane paradigm with Kirchhoff's law to accurately estimate black hole Hawking radiation.

Findings

Geometrical optics limit provides a good approximation for absorption cross-section.

Kirchhoff's law effectively estimates the black hole's photonic luminosity.

The approach yields accurate total emission power estimates.

Abstract

We calculate the photonic frequency-dependent absorption cross section and intensity of the Hawking radiation for a stationary non-rotating black hole using the electrodynamic membrane paradigm and Kirchhoff's law. A remarkable conclusion is that the use of geometrical optics limit for absorption cross-section and Kirchhoff's law for the photonic luminosity of black hole provides a very good estimation for its total emission power