Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-03-30
Class.Quant.Grav. 19 (2002) L113
Physics
High Energy Physics
High Energy Physics - Theory
7 pages, no figures, final version to appear in Class. Quantum Grav
Scientific paper
10.1088/0264-9381/19/12/101
A very simple criterion to ascertain if (D-2)-surfaces are trapped in arbitrary D-dimensional Lorentzian manifolds is given. The result is purely geometric, independent of the particular gravitational theory, of any field equations or of any other conditions. Many physical applications arise, a few shown here: a definition of general horizon, which reduces to the standard one in black holes/rings and other known cases; the classification of solutions with a (D-2)-dimensional abelian group of motions and the invariance of the trapping under simple dimensional reductions of the Kaluza-Klein/string/M-theory type. Finally, a stronger result involving closed trapped surfaces is presented. It provides in particular a simple sufficient condition for their absence.
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