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Generalized Oppenheimer-Snyder Gravitational Collapse into Regular Black holes

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arxiv 2202.14024 v1 pith:FSHUXYXE submitted 2022-02-28 gr-qc

F. Shojai , A. Sadeghi , R. Hassannejad This is my paper · ORCID
classification gr-qc
keywords blackholesregularstarcollapsestellarconditiondescribed
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We shall study the formation of a particular class of regular black holes from the gravitational collapse of a massive star. The inside geometry is described by spatially flat Friedmann-Robertson-Walker metric and the stellar matter is distributed uniformly without any pre-assumption about its equation of state. Our model is a generalization of Oppenheimer-Snyder collapse for regular black holes. We have obtained the density and pressure of star by applying the condition of smooth joining of metrics at the freely falling surface of star. Specifying the regular black holes to Hayward and Bardeen cases, we see that the stellar matter is described by a polytropic equation of state and moreover, for the radius smaller than a certain value, the strong energy condition becomes invalid. Then for both black holes, the interior apparent and event horizons and also the stellar surface are obtained as functions of the proper time of star. At the end, we have constructed a new two parametric family of regular black holes jointed smoothly to the flat Friedmann-Robertson-Walker interior metric of a polytropic star with an arbitrary index.

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Cited by 5 Pith papers

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

  1. Obstructions to Minimal Regular Black Hole Cosmologies

    gr-qc 2026-06 conditional novelty 7.0 of 10

    Obstructions from matching conditions and completeness theorems prevent minimal regular black hole models from hosting unbounded FRW daughter cosmologies.

  2. Classification of Oppenheimer-Snyder Collapse: Singular, Bouncing, and Soft-Landing Scenarios

    gr-qc 2026-02 conditional novelty 7.0 of 10

    Generalized Oppenheimer-Snyder collapse into two-horizon exteriors splits into singular, bouncing, and soft-landing categories, with Reissner-Nordström showing the bounce and regular de Sitter-core black holes never doing so.

  3. Asymmetric Quantum Oppenheimer-Snyder Collapse

    gr-qc 2026-08 conditional novelty 6.0 of 10

    Asymmetric loop-quantum-cosmology collapse of a dust ball yields a geodesically complete, bouncing regular black hole spacetime with a C^0 shock at the dust surface and two joined vacuum geometries.

  4. Constructing regular black holes from multi-polytropic equations of state

    gr-qc 2025-02 reject novelty 5.0 of 10

    Two regular black hole metrics are derived from anisotropic multi-polytropic TOV equations; one reduces to the known Hayward geometry and the other is new, with repulsive-gravity regions outside the horizon for partic...

  5. Formation of regular black hole from baryonic matter

    gr-qc 2025-02 conditional novelty 4.0 of 10

    A family of regular black hole collapse solutions is built by imposing a de Sitter core and matching to a Husain exterior; the shadow radius grows with the barotropic parameter alpha.

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