Trapped surfaces

Details Trapped surfaces Trapped surfaces

2011-07-07

arxiv.org/abs/1107.1344v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

32 pages, 12 figures, 3 Tables. Invited course at the 2011 Shanghai Asia-Pacific School and Workshop on Gravitation, version s

Scientific paper

I review the definition and types of (closed) trapped surfaces. Surprising global properties are shown, such as their "clairvoyance" and the possibility that they enter into flat portions of the spacetime. Several results on the interplay of trapped surfaces with vector fields and with spatial hypersurfaces are presented. Applications to the quasi-local definition of Black Holes are discussed, with particular emphasis set onto marginally trapped tubes, trapping horizons and the boundary of the region with closed trapped surfaces. Finally, the core of a trapped region is introduced, and its importance discussed.

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