Static axisymmetric discs and gravitational collapse

Details Static axisymmetric discs and gravitational collapse Static axisymmetric discs and gravitational collapse

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987rspsa.413..251c&link_type=abstract

(Royal Society, Discussion on Dynamical Chaos, London, England, Feb. 4, 5, 1987) Royal Society (London), Proceedings, Series A -

Physics

25

Cosmology, Einstein Equations, Field Theory (Physics), Gravitational Collapse, Disks (Shapes), Naked Singularities, Statics

Scientific paper

Regular static axisymmetric vacuum solutions of Einstein's field equations representing the exterior field of a finite thin disk are found. These are used to describe the slow collapse of a disklike object. If no conditions are placed on the matter, a naked singularity is formed and the cosmic censorship hypothesis would be violated. Imposition of the weak energy condition, however, prevents slow collapse to a singularity and preserves the validity of this hypothesis. The validity of the hoop conjecture is also discussed.

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