Trapped surfaces and symmetries

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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9 pages, no figures. Final corrected version to appear in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/20/24/L03

We prove that strictly stationary spacetimes cannot contain closed trapped
nor marginally trapped surfaces. The result is purely geometric and holds in
arbitrary dimension. Other results concerning the interplay between
(generalized) symmetries and trapped submanifolds are also presented.

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