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

Abstract

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.

References in corpus (6)

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• Classification of spacelike surfaces in spacetime
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Cited by in corpus (5)

• New Examples of Marginally Trapped Surfaces and Tubes in Warped Spacetimes
• An invariant theory of marginally trapped surfaces in the four-dimensional Minkowski space
• Timelike surfaces with zero mean curvature in Minkowski 4-space
• Marginally trapped meridian surfaces of parabolic type in the four-dimensional Minkowski space
• Quasi-minimal Rotational Surfaces in Pseudo-Euclidean Four-dimensional Space