Stability of naked singularities in spherically symmetric dust collapse

Physics

Scientific paper

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Singularities And Cosmic Censorship, Relativity And Gravitation, Black Holes

Scientific paper

The stability of certain counterexamples leading to a strong curvature
naked singularity in the collapse of a spherically symmetric dust cloud
is examined to find that these solutions are unstable to small
perturbations in the initial conditions. Hence, the cosmic censorship
hypothesis may be modified to exclude unstable solutions.

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