Quasi-local black hole horizons

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.

41 pages, 12 Figures. To appear in the Springer Handbook of Spacetime, Springer Verlag (2013)

References in corpus (11)

• Intermediate and Extreme Mass-Ratio Inspirals -- Astrophysics, Science Applications and Detection using LISA
• Introduction to dynamical horizons in numerical relativity
• The region with trapped surfaces in spherical symmetry, its core, and their boundaries
• The area of horizons and the trapped region
• The time evolution of marginally trapped surfaces
• Outer Trapped Surfaces in Vaidya Spacetimes
• Area evolution, bulk viscosity and entropy principles for dynamical horizons
• Spacetime near isolated and dynamical trapping horizons
• A Note on trapped Surfaces in the Vaidya Solution
• The slicing dependence of non-spherically symmetric quasi-local horizons in Vaidya Spacetimes
• Dynamic black holes through gravitational collapse: Analysis of multipole moment of the curvatures on the horizon

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• The interior of a binary black hole merger
• Causal Nature and Dynamics of Trapping Horizons in Black Hole Collapse
• Self-intersecting marginally outer trapped surfaces
• Evaporation of dynamical horizon with the Hawking temparature in the {\bf K-}essence emergent Vaidya spacetime
• Is "Dark Energy" a Quantum Vacuum Energy?
• Microscopic states of Kerr black holes from boundary-bulk correspondence
• Are Astrophysical "Black" Holes Leaky?
• Trapped region in Kerr-Vaidya space-time
• Cosmologically inspired Kastor-Traschen solution
• Quasilocal horizons in inhomogeneous cosmological models
• Geometry of isolated horizons
• Covariance Group for Null Geodesic Expansion Calculations, and its Application to the Apparent Horizon
• Hamiltonian Analysis of 4-dimensional Spacetime in Bondi-like Coordinates
• Black holes and their horizons in semiclassical and modified theories of gravity