Non-expanding impulsive gravitational waves

Details Non-expanding impulsive gravitational waves Non-expanding impulsive gravitational waves

1998-07-29

arxiv.org/abs/gr-qc/9807081v1

Class.Quant.Grav. 15 (1998) 3229-3239

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, to appear in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/15/10/023

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 $P(\Lambda)$ of non-twisting, non-expanding type N solutions of vacuum Einstein equations with a cosmological constant $\Lambda$. We show that the only non-trivial waves of this type in Minkowski spacetime are impulsive pp-waves. For $\Lambda\not=0$ we demonstrate that the canonical subclasses of $P(\Lambda)$, 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.

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