Expanding impulsive gravitational waves
نویسندگان
چکیده
We explicitly demonstrate that the known solutions for expanding impulsive spherical gravitational waves that have been obtained by a “cut and paste” method may be considered to be impulsive limits of the Robinson–Trautman vacuum type N solutions. We extend these results to all the generically distinct subclasses of these solutions in Minkowski, de Sitter and anti-de Sitter backgrounds. For these we express the solutions in terms of a continuous metric. Finally, we also extend the class of spherical shock gravitational waves to include a non-zero cosmological constant. Pacs 04.20.Jb, 04.30.Nk
منابع مشابه
Exact solutions for impulsive gravitational waves∗
All impulsive waves (with no tails) in vacuum backgrounds of constant curvature (i.e. Minkowski, de Sitter and anti-de Sitter) are classified according to whether they are expanding or non-expanding. It is demonstrated that the expanding waves may, in some sense, be regarded as impulsive limits of Robinson–Trautman type N solutions.
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