Boost invariant marginally trapped surfaces in Minkowski 4-space
نویسندگان
چکیده
منابع مشابه
O ct 2 00 7 Boost Invariant Marginally Trapped Surfaces in Minkowski 4 - Space
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 invarian...
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A local classification of spacelike surfaces in Minkowski 4-space, which are invariant under spacelike rotations, and with mean curvature vector either vanishing or light-like, 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 fie...
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We study an area minimization problem for spacelike zero mean curvature surfaces in four dimensional Lorentz-Minkowski space. The areas of these surfaces are compared of with the areas of certain marginally trapped surfaces having the same boundary values. Department of Mathematics, Idaho State University, Pocatello, ID 83209, U.S.A. e-mail: [email protected] The quintessential property of zero ...
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Marginally trapped surfaces in Minkowski 4-space, which are invariant under a spacelike rotation, are classified based on the properties of their profile curves and 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.
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2007
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/24/22/009