Boost invariant marginally trapped surfaces in Minkowski 4-space

Abstract

The extremal and partly marginally trapped surfaces in Minkowski 4-space, which are invariant under the group of boost isometries, are classified. Moreover, it is shown that there do not exist extremal surfaces of this kind with constant Gaussian curvature. A procedure is given in order to construct a partly marginally trapped surface by gluing two marginally trapped surfaces which are invariant under the group of boost isometries. As an application, a proper star-surface is constructed.

arXiv comment13 pages, comment added in section 2

References in corpus (7)

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Cited by in corpus (7)

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• Marginally trapped surfaces in Minkowski 4-space invariant under a rotation subgroup of the Lorentz group
• Marginally trapped meridian surfaces of parabolic type in the four-dimensional Minkowski space
• Extremal and weakly trapped submanifolds in Generalized Robertson-Walker spacetimes
• Quasi-minimal Rotational Surfaces in Pseudo-Euclidean Four-dimensional Space