Angular momentum-mass inequality for axisymmetric black holes

TL;DR

This paper proves an angular momentum-mass inequality for axisymmetric black holes near the extreme Kerr solution, highlighting its physical importance and implications for gravitational collapse.

Contribution

It establishes the inequality J  m for vacuum, asymptotically flat, maximal, axisymmetric data close to extreme Kerr black holes.

Findings

Proves J  m inequality for specific black hole data.

Highlights the physical significance of the inequality.

Discusses implications for gravitational collapse models.

Abstract

The inequality $\sqrt{J}\leq m$ is proved for vacuum, asymptotically flat, maximal and axisymmetric data close to extreme Kerr data. The physical significance of this inequality and its relation to the standard picture of the gravitational collapse are discussed.