Black holes, marginally trapped surfaces and quasi-minimal surfaces

Bang-Yen Chen
2009 Tamkang Journal of Mathematics  
The concept of trapped surfaces introduced by Sir Roger Penrose in [Phys. Rev. Lett. 14 (1965), 57-59] plays an extremely important role in cosmology and general relativity. A black hole is a trapped region in a space-time enclosed by a marginally trapped surface. In term of mean curvature vector, a space-like surface in a space-time is marginally trapped if its mean curvature vector field is light-like at each point. In this article, we survey recent classification results on marginally
more » ... n marginally trapped surfaces from differential geometric viewpoint. Also, we survey recent results on a closely related subject; namely, quasi-minimal surfaces in pseudo-Riemannian manifolds.
doi:10.5556/j.tkjm.40.2009.600 fatcat:rx76tzer2jeztjsv63mbyqsdka