## On the completeness of impulsive gravitational waves    [PDF]

Clemens Sämann, Roland Steinbauer
We consider the impulsive limit of a class of space-times generalizing pp-waves that are given in the form $M=N\times\mathbb{R}^2_1$ where $(N,h)$ is a Riemannian manifold of arbitrary dimension and $M$ carries the line element $ds^2=dh^2+ 2dudv+f(x)\delta(u)du^2$ with $dh^2$ the line element of $N$ and $\delta$ the Dirac measure. We prove a completeness result for these space-times.
View original: http://arxiv.org/abs/1207.2633