Quasi-local black hole horizons

TL;DR

This paper introduces the concept of quasi-local horizons in black hole physics, discussing their properties, stability, and various types such as dynamical, trapping, and isolated horizons, suitable for physics graduate students.

Contribution

It provides a comprehensive review of quasi-local horizons, including definitions, properties, and applications, filling a gap in accessible educational resources.

Findings

Overview of trapped surfaces and regions

Properties and stability of trapped surfaces

Applications of different horizon types

Abstract

This article introduces the subject of quasi-local horizons at a level suitable for physics graduate students who have taken a first course on general relativity. It reviews properties of trapped surfaces and trapped regions in some simple examples, general properties of trapped surfaces including their stability properties, the definitions and some applications of dynamical-, trapping-, and isolated-horizons.