English

Trapped surfaces and symmetries

General Relativity and Quantum Cosmology 2009-11-10 v3

Abstract

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.

Keywords

Cite

@article{arxiv.gr-qc/0309055,
  title  = {Trapped surfaces and symmetries},
  author = {Marc Mars and José M. M. Senovilla},
  journal= {arXiv preprint arXiv:gr-qc/0309055},
  year   = {2009}
}

Comments

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

R2 v1 2026-07-22T12:38:39.938Z