Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Marcus Kriele"'
Autor:
Luc Vrancken, Marcus Kriele
Publikováno v:
Archiv der Mathematik. 72:223-232
We study Lagrangian immersions \(M^n_1\) into Lorentzian complex indefinite space forms \(\tilde M^n_1(4 \tilde c), \tilde c \ne 0\) and classify all such immersions which are minimal and have constant curvature \(c \ne \tilde c\).
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
Publikováno v:
Classical and Quantum Gravity. 14:153-163
We study irrotational, three-dimensional dust spacetimes and show that their only dynamical singularities are shell singularities in the sense of Kriele, Lim and Scott (1994). These singularities are weak and generically naked.
Autor:
Marcus Kriele
Publikováno v:
Banach Center Publications. 41:169-178
We present a stable class of spacetimes which satisfy the conditions of the singularity theorem of Hawking & Penrose (1970), and which contain naked singularities. This offers counterexamples to a geometric version of the strong cosmic censorship hyp
Autor:
Marcus Kriele
Publikováno v:
General Relativity and Gravitation. 28:1409-1413
Publikováno v:
Nonlinearity. 9:209-224
We establish the local existence of solutions with isolated -singularities for smooth, possibly underdetermined, systems of first-order ODE. AMS classification scheme numbers 34A34, 34C05
Autor:
Marcus Kriele
Publikováno v:
Journal of Mathematical Physics. 36:3676-3693
The initial value problem for a compact, spherically symmetric star with a rather general equation of state is discussed. For any given time it is possible to calculate the area of the spheres of symmetry which intersect the boundary, if space–time
Publikováno v:
Classical and Quantum Gravity. 11:2761-2779
We introduce and give the motivation for the concept of shell singularities. Shell singularities are a generalization of shell crossing singularities to spacetimes which are not necessarily spherically symmetric. We give a definition of strong cosmic
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:
Marcus Kriele
Publikováno v:
Classical and Quantum Gravity. 11:1325-1330
Signature (type) changing spacetimes are the classical limit of a variant of the no-boundary proposal of Hartle and Hawking (1983). I study spacetimes where the Einstein equation is coupled to a scalar field and give a heuristic, semiclassical argume