Geodesic completeness of generalized space-times
classification
🧮 math.DG
gr-qcmath.FA
keywords
completenessgeneralizedgeodesicspace-timesclassdefineframeworkfunctions
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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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