O ct 2 00 7 Boost Invariant Marginally Trapped Surfaces in Minkowski 4 - Space

نویسنده

  • Miguel Ortega
چکیده

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.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

ar X iv : 0 70 7 . 19 72 v 1 [ gr - q c ] 1 3 Ju l 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...

متن کامل

ar X iv : 0 80 4 . 33 35 v 3 [ gr - q c ] 1 3 N ov 2 00 8 Marginally trapped surfaces in Minkowski 4 - space Stefan

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 fiel...

متن کامل

2 00 8 Marginally trapped surfaces in Minkowski 4 - space invariant under a rotation subgroup of the Lorentz group ∗

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.

متن کامل

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

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...

متن کامل

9 Area minimization among marginally trapped surfaces in Lorentz - Minkowski space

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. The quintessential property of zero mean curvature surfaces in Euclidean space is that they locally minimize area with respect to their boun...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008