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The regularity of geodesics in impulsive pp-waves

Publikace na Matematicko-fyzikální fakulta |
2014

Tento text není v aktuálním jazyce dostupný. Zobrazuje se verze "en".Abstrakt

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.