Isolated horizons in classical and quantum gravity

TL;DR

This paper reviews the isolated horizons framework, a quasi-local approach for modeling black holes in equilibrium, covering both classical and quantum aspects over the past 15 years.

Contribution

It provides a comprehensive review of the motivations, derivations, and key results of the isolated horizons framework in classical and quantum gravity.

Findings

Clarifies the geometric assumptions intrinsic to horizons.

Summarizes classical results on horizon properties.

Discusses quantum implications and developments.

Abstract

Isolated horizons are a quasi-local framework, developed over the last 15 years by many authors, for modeling black holes `in equilibrium' that involves assumptions only about geometric structures intrinsic to the horizon. We review the motivations for the framework, and the derivation of the key results, both classical and quantum.