Strong curvature singularities in quasispherical asymptotically de Sitter dust collapse

Abstract

We study the occurrence, visibility, and curvature strength of singularities in dust-containing Szekeres spacetimes (which possess no Killing vectors) with a positive cosmological constant. We find that such singularities can be locally naked, Tipler strong, and develop from a non-zero-measure set of regular initial data. When examined along timelike geodesics, the singularity's curvature strength is found to be independent of the initial data.

16 pages, LaTeX, uses IOP package, 2 eps figures; accepted for publication in Class. Quantum Grav

References in corpus (5)

• Non-radial null geodesics in spherical dust collapse
• The spectrum of endstates of gravitational collapse with tangential stresses
• Shell crossing in generalized Tolman-Bondi spacetimes
• Naked singularities in Tolman-Bondi-de Sitter collapse
• Singularities in gravitational collapse with radial pressure

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• Is the shell-focusing singularity of Szekeres space-time visible?
• Quasispherical gravitational collapse in 5D Einstein-Gauss-Bonnet gravity
• Gravitational Collapse in Higher Dimensional Husain Space-Time
• Naked Singularities in Higher Dimensional Szekeres Space-time
• Does the particle creation mechanism favour the formation of a black hole or a naked singularity?
• Shear-free gravitational collapse is strongly censored
• Role of Initial Data in Higher Dimensional Quasi-Spherical Gravitational Collapse