New mathematical framework for spherical gravitational collapse

Abstract

A theorem, giving necessary and sufficient condition for naked singularity formation in spherically symmetric non static spacetimes under hypotheses of physical acceptability, is formulated and proved. The theorem relates existence of singular null geodesics to existence of regular curves which are super-solutions of the radial null geodesic equation, and allows us to treat all the known examples of naked singularities from a unified viewpoint. New examples are also found using this approach, and perspectives are discussed.

8 pages, LaTeX2e

References in corpus (4)

• Non-radial null geodesics in spherical dust collapse
• The spectrum of endstates of gravitational collapse with tangential stresses
• Naked singularities in Tolman-Bondi-de Sitter collapse
• Sufficient condition for Blackhole formation in spherical gravitational collapse

Cited by in corpus (12)

• Gravitational collapse of homogeneous scalar fields
• Gravitational collapse of barotropic spherical fluids
• Generalized scalar field cosmologies: theorems on asymptotic behavior
• Repulsive regions in Lemaître-Tolman-Bondi gravitational collapse
• Collapse of spherical charged anisotropic fluid spacetimes
• On the causal characterization of singularities in spherically symmetric spacetimes
• Cauchy horizon stability in a collapsing spherical dust cloud I: geometric optic approximation and spherically symmetric test fields
• Cosmic censorship conjecture in some matching spherical collapsing metrics
• Tipler Naked Singularities in $N$ Dimensions
• Gravitational collapse of a spherical scalar field
• Qualitative analysis of collapsing isotropic fluid spacetimes
• On the invariant causal characterization of singularities in spherically symmetric spacetimes