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

URN to cite this document:
urn:nbn:de:bvb:355-epub-220183
DOI to cite this document:
10.5283/epub.22018
Reintjes, Moritz ; Temple, Blake
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Date of publication of this fulltext: 07 Sep 2011 06:02


Abstract

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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