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The traditional description of black holes in terms of event horizons is inadequate for many physical applications, especially when studying black holes in non-stationary spacetimes.
Gravitational collapse and space-time singularities
Roger Penrose · 1965
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The singularities of gravitational collapse and cosmology
S. W. Hawking and R. Penrose · 1970
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General laws of black hole dynamics
S.A. Hayward · 1994
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Static black-hole solutions with axial symmetry
B. Kleihaus and J. Kunz · 1997
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Black hole boundary conditions and coordinate conditions
D.M. Eardley · 1998
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Isolated horizons: a generalization of black hole mechanics
A. Ashtekar, C. Beetle, and S. Fairhurst · 1999
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Mechanics of isolated horizons
A. Ashtekar, C. Beetle, and S. Fairhurst · 2000
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Generic isolated horizons and their applications
A. Ashtekar, C. Beetle, O. Dreyer, S. Fairhurst, B. Krishnan, J. Lewandowski, and J. Wisniewski · 2000
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Quantum geometry of isolated horizons and black hole entropy
A. Ashtekar, J.C. Baez, and K.V. Krasnov · 2000
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Isolated horizons: Hamiltonian evolution and the first law
A. Ashtekar, S. Fairhurst, and B. Krishnan · 2000
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Laws governing isolated horizons: Inclusion of dilaton coupling
A. Ashtekar and A. Corichi · 2000
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Mechanics of rotating isolated horizons
A. Ashtekar, C. Beetle, and J. Lewandowski · 2001
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Metric-based hamiltonians, null boundaries and isolated horizons
I.S. Booth · 2001
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Metric-based hamiltonians, null boundaries, and isolated horizons
Ivan S. Booth · 2001
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Hairy black holes, horizon mass and solitons
A. Ashtekar, A. Corichi, and D. Sudarsky · 2001
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Isolated horizons in 2+1 gravity
A. Ashtekar, O. Dreyer, and J. Wisniewski · 2002
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Horizon properties of einstein–yang–mills black hole
B. Kleihaus, J. Kunz, A. Sood, and M. Wirschins · 2002
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Non-minimally coupled scalar fields and isolated horizons
A. Ashtekar, A. Corichi, and D. Sudarsky · 2003
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Trapped surfaces and symmetries
Marc Mars and Jose M. M. Senovilla · 2003
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Introduction to isolated horizons in numerical relativity
O. Dreyer, B. Krishnan, E. Schnetter, and D. Shoemaker · 2003
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Isolated and dynamical horizons and their applications
Abhay Ashtekar and Badri Krishnan · 2004
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Inner boundary conditions for black hole initial data derived from isolated horizons, 2004
J.L. Jaramillo, E. Gourgoulhon, and G.A. Mena Marugán · 2004
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On the existence of initial data containing isolated black holes, December 2004
S. Dain, J.L. Jaramillo, and B. Krishnan · 2004
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Trapped surfaces as boundaries for the constraint equations
S. Dain · 2004
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Solutions of the einstein constraint equations with apparent horizon boundary
David Maxwell · 2004
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Multipole moments of isolated horizons
A. Ashtekar, J. Engle, T. Pawlowski, and C. Van Den Broeck · 2004
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Outer trapped surfaces in vaidya spacetimes
Ishai Ben-Dov · 2007
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Isolated horizons in higher-dimensional einstein-gauss- bonnet gravity
Tomas Liko and Ivan Booth · 2007
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Stability of marginally outer trapped surfaces and existence of marginally outer trapped tubes
Lars Andersson, Marc Mars, and Walter Simon · 2007
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Isolated, slowly evolving, and dynamical trapping horizons: geometry and mechanics from surface deformations
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The area of horizons and the trapped region
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Ivan Booth · 2005
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Horizon energy and angular momentum from a hamiltonian perspective
Ivan Booth and Stephen Fairhurst · 2005
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Mechanics of multidimensional isolated horizons
Mikolaj Korzynski, Jerzy Lewandowski, and Tomasz Pawlowski · 2005
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Local existence of dynamical and trapping horizons
Lars Andersson, Marc Mars, and Walter Simon · 2005
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Curvature estimates for stable marginally trapped surfaces
Lars Andersson and Jan Metzger · 2005
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Some uniqueness results for dynamical horizons
Abhay Ashtekar and Gregory J. Galloway · 2005
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An explicit harmonic code for black-hole evolution using excision
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Construction of initial data for 3+1 numerical relativity
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Black hole initial data with a horizon of prescribed geometry
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Trapping horizons as inner boundary conditions for black hole spacetimes
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Two physical characteristics of numerical apparent horizons
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Extremality conditions for isolated and dynamical horizons
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Dynamical surface gravity
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Approximate killing vectors on S 2 S^{2}
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Quasi–local angular momentum of non–symmetric isolated and dynamical horizons from the conformal decomposition of the metric
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Spin flips and precession in black-hole-binary mergers
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Quasi-local linear momentum in black-hole binaries
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