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The Central Singularity in Spherical Collapse

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arxiv gr-qc/0001026 v2 pith:NHYAOTZF submitted 2000-01-11 gr-qc

The Central Singularity in Spherical Collapse

classification gr-qc
keywords singularitycentralconditionsgeodesicallowamountangularcircumstances
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The gravitational strength of the central singularity in spherically symmetric space-times is investigated. Necessary conditions for the singularity to be gravitationally weak are derived and it is shown that these are violated in a wide variety of circumstances. These conditions allow conclusions to be drawn about the nature of the singularity without having to integrate the geodesic equations. In particular, any geodesic with a non-zero amount of angular momentum which impinges on the singularity terminates in a strong curvature singularity.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. $C^0$-inextendibility of a class of warped-product black hole spacetimes

    math.DG 2026-06 unverdicted novelty 5.0

    Adapts Sbierski's proof to establish future C^0-inextendibility for warped-product black hole spacetimes with closed, connected, homogeneous, orientable fibres, including nonvacuum cases and multiple horizons.

  2. Reissner Nordstrom black holes with integrable singularity interiors supported by string distributions

    gr-qc 2026-02 reject novelty 4.0

    A fluid-of-strings cloud is proposed as an integrable-singularity interior for the Reissner–Nordström exterior, but the field equations for the new model do not close.