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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

classification gr-qc
keywords singularitycentralconditionsgeodesicallowamountangularcircumstances
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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 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 26 citations worldwide. Full citation record

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

    math.DG 2026-06 unverdicted novelty 5.0 of 10

    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. Physical and Theoretical Challenges to Integrable Singularities

    gr-qc 2025-04 conditional novelty 5.0 of 10

    Generic scalar perturbations near integrable singularities have non-integrable energy density, and extended objects cannot traverse them safely, challenging their viability as black hole alternatives.

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

    gr-qc 2026-02 reject novelty 4.0 of 10

    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.

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