Radiating black hole solutions in arbitrary dimensions

TL;DR

This paper proves a theorem characterizing a broad family of non-static, radiating black hole solutions in arbitrary dimensions, unifying known solutions and exploring their properties like energy conditions and horizons.

Contribution

It introduces a general theorem that encompasses many known radiating black hole solutions in any number of dimensions, including static and non-static cases.

Findings

Known Vaidya-based solutions are special cases of the family.

Static black hole solutions for Type I fluid are recoverable.

Discussion on energy conditions, singularities, and horizons included.

Abstract

We prove a theorem that characterizes a large family of non-static solutions to Einstein equations in $N$-dimensional space-time, representing, in general, spherically symmetric Type II fluid. It is shown that the best known Vaidya-based (radiating) black hole solutions to Einstein equations, in both four dimensions (4D) and higher dimensions (HD), are particular cases from this family. The spherically symmetric static black hole solutions for Type I fluid can also be retrieved. A brief discussion on the energy conditions, singularities and horizons is provided.