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pro vyhledávání: '"Marcus Kriele"'
Autor:
Marcus Kriele, Sean A. Hayward
Publikováno v:
Journal of Mathematical Physics. 38:1593-1604
We give a new definition of “closed outer trapped surface’’ with respect to a hypersurface and show that the boundary of the trapped region (the apparent horizon) is a marginally trapped surface, i.e., has vanishing outer null expansion. While
Autor:
Marcus Kriele, Marek Kossowski
Publikováno v:
Geometriae Dedicata. 64:1-16
Consider a smooth manifold with smooth (0, 2)-tensor which changes bilinear type on a hypersurface. We show that there are natural tensors on this hypersurface which control the smooth extension of sectional, Ricci, and scalar curvature. This enables
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