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Geometry of generic isolated horizons. (English) Zbl 0998.83012

The paper analyses geometrical structures defined intrinsically on non-expanding, weakly isolated and isolated horizons. The interplay with Einstein’s equation is studied. The results clarify the interplay between geometric structures and field equations. Powerful tools are developed to extract invariant physical information from numerical simulations of the near-horizon, strong field geometry.

MSC:

83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems)
83C57 Black holes
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