On the existence of marginally trapped tubes in spacetimes with local rotational symmetry

Abstract

Let $M$ be a locally rotationally symmetric spacetime with at least one of the rotation or spatial twist being non-zero. It is proved that $M$ cannot admit a non-minimal marginally trapped tube of the form $\chi =X(t)$.

arXiv comment6 pages, no figure, Short Communication. arXiv admin note: text overlap with arXiv:2004.02057

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Cited by in corpus (3)

• Horizon area bound and MOTS stability in locally rotationally symmetric solutions
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• Gradient conformal stationarity and the CMC condition in LRS spacetimes