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Points in general relativistic shock wave interaction are “regularity singularities” where spacetime is not locally flat

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Reintjes, Moritz ; Temple, Blake
Date of publication of this fulltext: 07 Sep 2011 06:02


We show that the regularity of the gravitational metric tensor in spher- ically symmetric spacetimes cannot be lifted from C0,1 to C1,1 within the class of C1,1 coordinate transformations in a neighborhood of a point of shock wave inter- action in General Relativity, without forcing the determinant of the metric tensor to vanish at the point of interaction. This is in contrast to Israel’s Theorem ...


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