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arxiv: gr-qc/0309055 · v3 · submitted 2003-09-09 · 🌀 gr-qc

Trapped surfaces and symmetries

classification 🌀 gr-qc
keywords trappedsurfacessymmetriesarbitrarycannotclosedconcerningcontain
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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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