2011/07/07 by José M. M. Senovilla · 1 voice
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary (topology) #Classical mechanics #Core (optical fiber) #Cosmology and Gravitation Theories #Geometric Analysis and Curvature Flows #Mathematical analysis #Optics #Physics #Quantum mechanics #Spacetime #Theoretical physics #Trapping #gr-qc
paper · pdf · doi:10.1142/s0218271811020354
32 pages, 12 figures, 3 Tables. Invited course at the 2011 Shanghai Asia-Pacific School and Workshop on Gravitation, version submitted to the Proceedings. Minor typos corrected
arxiv published 2011/07/07 · openalex publication_date 2011/08/11 · arxiv created 2011/09/14 · arxiv updated 2011/09/14 · openalex created_date 2020/07/02 · openalex updated_date 2026/08/05
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.