The regularity of geodesics in impulsive pp-waves
Lecke, A.; Steinbauer, R.; Švarc, R.
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 Carathéodory) are actually continuously differentiable, thereby rigorously
justifying the C1-matching procedurewhich has been used in the literature to explicitly
derive the geodesics in space-times of this form.
| type: | article |
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| journal: | Gen. Rel. Grav. |
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| volume: | 46 |
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| pages: | 1648 |
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| year: | 2014 |
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