On the black hole limit of rotating fluid bodies in equilibrium

TL;DR

This paper establishes the precise conditions under which rotating fluid bodies in equilibrium can approach the black hole limit, specifically the extremal Kerr black hole, in the context of stationary, axisymmetric configurations.

Contribution

It provides necessary and sufficient conditions for rotating fluid bodies to reach the black hole limit, advancing understanding of the transition from fluid bodies to black holes.

Findings

Extremal Kerr black hole is the unique black hole limit for rotating fluid bodies.

Necessary and sufficient conditions for the black hole limit are derived.

The results clarify the transition criteria from fluid bodies to black holes.

Abstract

Recently, it was shown that the extreme Kerr black hole is the only candidate for a (Kerr) black hole limit of stationary and axisymmetric, uniformly rotating perfect fluid bodies with a zero temperature equation of state. In this paper, necessary and sufficient conditions for reaching the black hole limit are presented.