Black hole Area-Angular momentum inequality in non-vacuum spacetimes

TL;DR

This paper proves an inequality relating the area and angular momentum of black hole horizons in non-vacuum, axisymmetric spacetimes, extending previous results to more general conditions.

Contribution

It establishes the area-angular momentum inequality for marginally trapped surfaces in non-vacuum, non-axisymmetric black hole spacetimes with matter satisfying energy conditions.

Findings

The inequality A ≥ 8π|J| holds for these horizons.

Applicable to spacetimes with non-negative cosmological constant.

Includes horizons in non-axisymmetric, generic black hole spacetimes.

Abstract

We show that the area-angular momentum inequality A\geq 8\pi|J| holds for axially symmetric closed outermost stably marginally trapped surfaces. These are horizon sections (in particular, apparent horizons) contained in otherwise generic non-necessarily axisymmetric black hole spacetimes, with non-negative cosmological constant and whose matter content satisfies the dominant energy condition.