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Non-smoothness of event horizons of Robinson-Trautman black holes. (English) Zbl 0758.53046

Summary: It is shown that generic “small data” Robinson-Trautman space-times cannot be \(C^{123}\) extended beyond the “\(r=2m\) Schwarzschild-like” event horizon. This implies that an observer living in such a space-time can determine by local measurements whether or not he has crossed the event-horizon of the black-hole.

MSC:

53Z05 Applications of differential geometry to physics
83C57 Black holes
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