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pro vyhledávání: '"Marcus Kriele"'
Autor:
Marcus Kriele, Marek Kossowski
Publikováno v:
Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences. 446:115-126
We give a local existence and uniqueness theorem for solutions of Einstein’s equations with dust energy momentum tensor in the class of m -dimensional, analytic, transverse, signature type changing spacetimes where the initial conditions are give
Autor:
Marek Kossowski, Marcus Kriele
Publikováno v:
Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences. 444:297-306
We study the geodesics and pre-geodesics of a smooth manifold with smooth pseudo riemannian metric which changes bilinear type (i. e. the signature changes) on a hypersurface. We classify all geodesics and pre-geodesics that cross the hypersurface of
Autor:
Marcus Kriele
Publikováno v:
Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences. 431:451-464
I prove a generalization of the singularity theorem of Hawking & Penrose. The generalization is (as far as I am aware) the only one that preserves the original idea of this theorem. By quoting an example of Newman I show that the generalization is un