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arXiv · 1310.1322

The regularity of geodesics in impulsive pp-waves

Alexander Lecke·Roland Steinbauer·Robert Svarc
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Abstract

We consider the geodesic equation in impulsive pp-wave space-times in Rosen form, where the metric is of Lipschitz regularity. We prove that the geodesics (in the sense of Caratheodory) are actually continuously differentiable, thereby rigorously justifying the $C^1$-matching procedure which has been used in the literature to explicitly derive the geodesics in space-times of this form.

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Alexander Lecke, Roland Steinbauer, Robert Svarc. 2013-10-04. The regularity of geodesics in impulsive pp-waves. https://doi.org/10.1007/s10714-013-1648-0

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