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Quite recently, some new mathematical approaches to black holes have appeared in the literature.
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Hawking S.W., 1972, Black holes in general relativity
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Demiański M. & Lasota J.-P., 1973, Black holes in an expanding Universe
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Háj́iček P., 1973, Exact models of charged black holes. I. Geometry of totally geodesic null hypersurface
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Hartle J.B., 1973, Tidal friction in slowly rotating black holes
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Hawking S.W. & Ellis G.F.R., 1973, The large scale structure of space-time
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Damour T., 1979, Quelques propriétés mécaniques, électromagnétiques, thermodynamiques et quantiques des trous noirs
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Damour T., 1982, Surface effects in black hole physics
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Price R.H. & Thorne K.S., 1986, Membrane viewpoint on black holes: Properties and evolution of the stretched horizon
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Carter B., 1992, Outer curvature and conformal geometry of an imbedding
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Brown J. D. & York J. W., 1993, Quasilocal energy and conserved charges derived from the gravitational action
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Hayward S.A., 1994, General laws of black hole dynamics
1994
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Rieutord M., 1997, Une introduction à la dynamique des fluides , Masson, Paris
1997
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Ashtekar A., Beetle C. & Fairhurst S., 1999, Isolated horizons: a generalization of black hole mechanics
1999
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Ashtekar A. & Krishnan B., 2002, Dynamical Horizons: Energy, Angular Momentum, Fluxes and Balance Laws
2002
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Ashtekar A. & Krishnan B., 2003, Dynamical horizons and their properties
2003
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Ashtekar A. & Krishnan B., 2004, Isolated and dynamical horizons and their applications
2004
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Ashtekar A. & Galloway G.J., 2005, Some uniqueness results for dynamical horizons
2005
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Booth I, 2005, Black hole boundaries
2005
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Booth I. & Fairhurst S., 2005, Horizon energy and angular momentum from a Hamiltonian perspective
2005
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Dain S., Jaramillo J. L. & Krishnan B., 2005, On the existence of initial data containing isolated black holes
2005
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Gourgoulhon E., 2005, Generalized Damour-Navier-Stokes equation applied to trapping horizons
2005
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Caudill M., Cook G. B., Grigsby J. D. & Pfeiffer H. P., 2006, Circular orbits and spin in black-hole initial data
2006
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Booth I. & Fairhurst S., 2004, The first law for slowly evolving horizons
2004
Cited alongside, same era.
Cook G. B. & Pfeiffer H. P., 2004, Excision boundary conditions for black-hole initial data
2004
Cited alongside, same era.
Hayward S.A., 2004, Energy and entropy conservation for dynamical black holes
2004
Cited alongside, same era.
Jaramillo J. L., Gourgoulhon E. & Mena Marugán G. A., 2004, Inner boundary conditions for black hole initial data derived from isolated horizons
2004
Cited alongside, same era.
Senovilla J.M.M., 2005, Trapped submanifolds in Lorentzian geometry
2004
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Andersson L., Mars M. & Simon W., 2005, Local Existence of Dynamical and Trapping Horizons
2005
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Hayward S.A., 2006, Angular momentum conservation for dynamical black holes
2006
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Schnetter E., Krishnan B. & Beyer F., 2006, Introduction to dynamical horizons in numerical relativity
2006
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Damour T. & Lilley M., 2008, String theory, gravity and experiment
2007
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Jaramillo J.L., Ansorg M. & Limousin F., 2007, Numerical implementation of isolated horizon boundary conditions
2007
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Krishnan B., 2008, Fundamental properties and applications of quasi-local black hole horizons
2007
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