Zobrazeno 21 - 30
of 52
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:
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:
Classical and Quantum Gravity. 13:1161-1182
In a four-dimensional Lorentzian manifold, a family of light rays emanating orthogonally from a spacelike 2-surface generates a `wavefront'. The caustic of a wavefront is the set of all points where the wavefront fails to be an (immersed) submanifold
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, Giselle Lim
Publikováno v:
Classical and Quantum Gravity. 12:3019-3035
We study a class of singularities of prescribed behaviour and investigate physical properties such as their strength, and the validity of energy conditions in a neighbourhood of these singularities. As applications of our theory, we show that shell (
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:
Results in Mathematics. 27:41-50
Local and global properties of the first order spherical functions are generalized to projectively flat manifolds.