Trapped surfaces

Understand

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.