Marginally trapped surfaces in Minkowski 4-space invariant under a rotation subgroup of the Lorentz group

Details Marginally trapped surfaces in Minkowski 4-space invariant under a rotation subgroup of the Lorentz group Marginally trapped surfaces in Minkowski 4-space invariant under a rotation subgroup of the Lorentz group

2008-04-21

arxiv.org/abs/0804.3335v3

Gen.Rel.Grav.41:1819-1834,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1007/s10714-008-0754-x

A local classification of spacelike surfaces in Minkowski 4-space, which are invariant under spacelike rotations, and with mean curvature vector either vanishing or lightlike, is obtained. Furthermore, the existence of such surfaces with prescribed Gaussian curvature is shown. A procedure is presented to glue several of these surfaces with intermediate parts where the mean curvature vector field vanishes. In particular, a local description of marginally trapped surfaces invariant under spacelike rotations is exhibited.

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