Shell-focusing singularities in spherically symmetric self-similar spacetimes
- 15 September 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 40 (6) , 2137-2139
- https://doi.org/10.1103/physrevd.40.2137
Abstract
We examine spherically symmetric self-similar spacetimes in comoving coordinates, subject to a monotonically increasing comoving time to the future, and find the necessary conditions for the formation of naked strong curvature shell-focusing singularities. The strength is shown to be persistent (not instantaneous). On the basis of eikonal perturbations along the associated Cauchy horizons we find no reason to suspect that the singularities are unstable.Keywords
This publication has 11 references indexed in Scilit:
- Strengths of shell-focusing singularities in marginally bound collapsing self-similar Tolman spacetimesPhysical Review D, 1988
- Comment on "Naked Singularities in Self-Similar Spherical Gravitational Collapse"Physical Review Letters, 1988
- Naked singularities in self-similar spherical gravitational collapsePhysical Review Letters, 1987
- Strengths of singularities in Vaidya spacetimesPhysical Review D, 1987
- Conditions for the occurence of strong curvature singularitiesJournal of Geometry and Physics, 1985
- Violation of cosmic censorship in the gravitational collapse of a dust cloudCommunications in Mathematical Physics, 1984
- Time functions in numerical relativity: Marginally bound dust collapsePhysical Review D, 1979
- Self-similar growth of primordial black holes. II - General sound speedThe Astrophysical Journal, 1978
- Self-similar spacetimes: Geometry and dynamicsCommunications in Mathematical Physics, 1974
- Spherically symmetric similarity solutions of the Einstein field equations for a perfect fluidCommunications in Mathematical Physics, 1971