Shear-free gravitational collapse is strongly censored

Abstract

We consider spherically symmetric spacetimes with matter whose timelike flow is assumed to be shear-free. A number of results on the formation and visibility of spacetime singularities is proven, with the main one being that shear-free collapse cannot admit locally naked singularities (which implies absence of globally naked singularities). We conjecture that shear is a necessary condition for the occurrence of locally naked singularities in generic gravitational collapse.

6 pages, revtex4; accepted for publication in Phys. Rev. D Rapid Comm

References in corpus (4)

• Positivity of Quasilocal Mass
• Anisotropic geodesic fluid spheres in general relativity
• Relativistic shells: Dynamics, horizons, and shell crossing
• Dynamical extensions for shell-crossing singularities

Cited by in corpus (4)

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• Trapped surfaces and nature of singularities in Lyra's geometry
• Inside charged black holes I. Baryons
• Shear-free Dust Solution in General Covariant Hořava-Lifshitz Gravity