Boost invariant marginally trapped surfaces in Minkowski 4-space
arXiv:0707.1972 · doi:10.1088/0264-9381/24/22/009
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.
13 pages, comment added in section 2