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arXiv · 1310.2362

Geodesic completeness of generalized space-times

Clemens Sämann·Roland Steinbauer
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Abstract

We define the notion of geodesic completeness for semi-Riemannian metrics of low regularity in the framework of the geometric theory of generalized functions. We then show completeness of a wide class of impulsive gravitational wave space-times.

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Clemens Sämann, Roland Steinbauer. 2015-01-29. Geodesic completeness of generalized space-times. https://arxiv.org/abs/1310.2362

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