The structure of non-spacelike geodesics in dust collapse

Abstract

We study here the behaviour of non-spacelike geodesics in dust collapse models in order to understand the casual structure of the spacetime. The geodesic families coming out, when the singularity is naked, corresponding to different initial data are worked out and analyzed. We also bring out the similarity of the limiting behaviour for different types of geodesics in the limit of approach to the singularity.

23 pages, 6 figures, to appear in PRD

References in corpus (3)

• Gravitational Radiation from a Naked Singularity -- Odd-Parity Perturbation --
• Gravitational Radiation from a Naked Singularity. II - Even-Parity Perturbation -
• Initial data and spherical dust collapse

Cited by in corpus (7)

• Recent developments in gravitational collapse and spacetime singularities
• Gravitational Collapse and Cosmological Constant
• Non-radial null geodesics in spherical dust collapse
• Calculations of three-nucleon reactions with N3LO chiral forces: achievements and challenges
• Appearance of the central singularity in spherical collapse
• Strength and genericity of singularities in Tolman-Bondi-de Sitter collapse
• Can we see naked singularities?