Stress-energy tensor of a radiating sphere inclosing black hole

TL;DR

This paper derives analytic formulas for the radiation stress-energy tensor components around a radiating sphere with a central black hole, for observers at any distance from the horizon, enhancing understanding of radiation-black hole interactions.

Contribution

It provides the first explicit analytic expressions for the stress-energy tensor in a radiating sphere-black hole system for arbitrary observer locations.

Findings

Analytic formulas for stress-energy tensor components are derived.

Formulas apply to any observer distance from the black hole horizon.

Results facilitate studies of radiation effects near black holes.

Abstract

We consider a uniformly luminous radiating sphere and a static black hole located in the center of that sphere. We give analytic formulas for radiation stress-energy tensor components in such a configuration, for the observer located at an arbitrary distance from the static black hole horizon.