Strengths of singularities in spherical symmetry

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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16 pages, revtex. V2. Classification of irregular singular points completed, Comments and references on singularities with a c

Scientific paper

10.1103/PhysRevD.60.024014

Covariant equations characterizing the strength of a singularity in spherical symmetry are derived and several models are investigated. The difference between central and non-central singularities is emphasised. A slight modification to the definition of singularity strength is suggested. The gravitational weakness of shell crossing singularities in collapsing spherical dust is proven for timelike geodesics, closing a gap in the proof.

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