The Fate of a Five-Dimensional Rotating Black Hole via Hawking Radiation

TL;DR

This paper investigates how five-dimensional rotating black holes evolve under Hawking radiation, showing they tend toward a state with equal scaled rotation parameters regardless of initial conditions.

Contribution

It introduces a study of the evolution of five-dimensional rotating black holes with arbitrary initial rotations under Hawking radiation, revealing a universal asymptotic state.

Findings

Black holes evolve toward a state with equal scaled rotation parameters

The asymptotic state is independent of initial rotation values

The evolution is characterized for arbitrary initial rotation parameters

Abstract

We study the evolution of a five-dimensional rotating black hole emitting scalar field radiation via the Hawking process for arbitrary initial values of the two rotation parameters $a$ and $b$. It is found that any such black hole whose initial rotation parameters are both nonzero evolves toward an asymptotic state $a/M^{1/2}=b/M^{1/2}={\rm const}(\neq 0)$, where this constant is independent of the initial values of $a$ and $b$.