4 research outputs found
Curvature conditions for the occurrence of a class of spacetime singularities
It has previously been shown [W. Rudnicki, Phys. Lett. A 224, 45 (1996)] that
a generic gravitational collapse cannot result in a naked singularity
accompanied by closed timelike curves. An important role in this result plays
the so-called inextendibility condition, which is required to hold for certain
incomplete null geodesics. In this paper, a theorem is proved that establishes
some relations between the inextendibility condition and the rate of growth of
the Ricci curvature along incomplete null geodesics. This theorem shows that
the inextendibility condition may hold for a much more general class of
singularities than only those of the strong curvature type. It is also argued
that some earlier cosmic censorship results obtained for strong curvature
singularities can be extended to singularities corresponding to the
inextendibility condition.Comment: RevTeX, 6 pages, no figures. To be published in J. Math. Phy
On the strength of the Kerr singularity and cosmic censorship
It has been suggested by Israel that the Kerr singularity cannot be strong in
the sense of Tipler, for it tends to cause repulsive effects. We show here
that, contrary to that suggestion, nearly all null geodesics reaching this
singularity do in fact terminate in Tipler's strong curvature singularity.
Implications of this result are discussed in the context of an earlier cosmic
censorship theorem which constraints the occurrence of Kerr-like naked
singularities in generic collapse situations.Comment: RevTeX, 6 pages, no figures, to appear in Phys. Lett.