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Zbl 1161.83003
Duggal, K.L.
Time-dependent black hole horizons on spacetime solutions of Einstein's equations with initial data.
(English)
[A] Plaue, M. (ed.) et al., Advances in Lorentzian geometry. Aachen: Shaker Verlag. 51-61 (2008). ISBN 978-3-8322-7786-4/pbk

For non-static black holes, the author presents a method how to define a horizon, called a dynamical horizon. To this end he introduces the notion of a FOTH, a future outer trapped horizon. Methods applied cover: foliations of space-time into space-like hypersurfaces, which in a certain limit degenerate to a foliation into null hypersurfaces; the use of conformal Killing vectors; comparison between geometrically and physically motivated conditions. Finally, black hole uniqueness conditions are mentioned.
[Hans-Jürgen Schmidt (Potsdam)]
MSC 2000:
*83C05 Einstein's equations
83C57 Black holes
53C50 Lorentz manifolds, manifolds with indefinite metrics
83C75 Space-time singularities, etc.

Keywords: dynamical horizon

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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