Non-expanding impulsive gravitational waves
نویسنده
چکیده
We investigate a class of impulsive gravitational waves which propagate either in Minkowski or in the (anti–) de Sitter background. These waves are constructed as impulsive members of the Kundt class P (Λ) of non-twisting, non-expanding type N solutions of vacuum Einstein equations with a cosmological constant Λ. We show that the only non-trivial waves of this type in Minkowski spacetime are impulsive pp-waves. For Λ 6= 0 we demonstrate that the canonical subclasses of P (Λ), which are invariantly different for smooth profiles, are all locally equivalent for impulsive profiles. Also, we present coordinate system for these impulsive solutions which is explicitly continuous. PACS class: 04.20.Jb, 04.30.Nk, 04.30.-w, 98.80.Hw
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