Mechanics of Rotating Isolated Horizons

TL;DR

This paper extends the mechanics of isolated horizons to include rotating black holes, introducing angular momentum and generalizing the first law to encompass rotation effects.

Contribution

It introduces the concept of isolated horizon angular momentum and extends the first law to rotating black holes, filling a gap in the theoretical framework.

Findings

Defined isolated horizon angular momentum.

Extended the first law to rotating horizons.

Unified treatment of rotating and non-rotating horizons.

Abstract

Black hole mechanics was recently extended by replacing the more commonly used event horizons in stationary space-times with isolated horizons in more general space-times (which may admit radiation arbitrarily close to black holes). However, so far the detailed analysis has been restricted to non-rotating black holes (although it incorporated arbitrary distortion, as well as electromagnetic, Yang-Mills and dilatonic charges). We now fill this gap by first introducing the notion of isolated horizon angular momentum and then extending the first law to the rotating case.