Spherically symmetric singularities and strong cosmic censorship

Details Spherically symmetric singularities and strong cosmic censorship Spherically symmetric singularities and strong cosmic censorship

May 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvd..47.4362s&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 47, Issue 10, 15 May 1993, pp.4362-4371

Physics

30

Exact Solutions, Fundamental Problems And General Formalism

Scientific paper

In this paper we consider spherically symmetric metrics having singularities of a form designated as being ``of the power-law type.'' Included in this class are all Tolman-Bondi dust collapses, but the form postulated is very much more general. We calculate the asymptotic behavior of the energy-stress tensor near the singularity, and show that it is possible to satisfy the dominant energy condition, even when the singularity is locally naked. This seems to contradict the strong cosmic censorship hypothesis. However it is shown that if the singularity is not a shell cross, then the energy-stress tensor is asymptotically extreme (||Pr||~=ρ or ||P⊥||~=ρ) or one of the pressures is negative (Pr<0 or P⊥<0).

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