HideSubsections
Abstract
1
Introduction
2
Basic Notions
2.1
Isolated horizons
2.2
Dynamical horizons
3
Area Increase Law
3.1
Preliminaries
3.2
Area increase law
3.3
Energy flux due to gravitational waves
4
Black Hole Mechanics
4.1
Mechanics of weakly isolated horizons
4.2
Mechanics of dynamical horizons
4.3
Passage of dynamical horizons to equilibrium
5
Applications in Numerical Relativity
5.1
Numerical computation of black hole mass and angular momentum
5.2
Initial data
5.3
Black hole multipole moments
5.4
Waveform extraction
6
Applications in Mathematical Physics
6.1
Beyond Einstein-Maxwell theory
6.2
Structure of colored, static black holes
7
Applications in Quantum Gravity
7.1
Preliminaries
7.2
Quantum horizon geometry
7.3
Entropy
8
Outlook
9
Acknowledgements
References
Figures
Footnotes