Trapped surfaces
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by
José M.M. Senovilla
2011
Abstract
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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