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The generalized Vaidya spacetime with polytropic equation of state

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arxiv 2311.15671 v2 pith:XGRMM45Z submitted 2023-11-27 gr-qc

Vitalii Vertogradov This is my paper · ORCID
classification gr-qc
keywords polytropicgeneralizedvaidyaspacetimeblackcollapseconsiderequations
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The process of the gravitational collapse might lead not only to a black hole but also to naked singularity formation. In this paper, we consider the generalized Vaidya spacetime with polytropic and generalized polytropic equations of state. We solve the Einstein and Einstein-Maxwell equations to obtain the explicit form of a mass function. We consider the limiting cases of solutions and find out, that generalized Vaidya spacetime might behave like Vaidya-de Sitter and Bonnor-Vaidya-de sitter solutions. Moreover, we explicitly show, that the part of solution, which depends on the polytropic index, is similar to cosmological fields surrounding both Vaidya and Bonnor-Vaidya black holes. The process of the gravitational collapse has been then considered. We have found out that the conditions of the naked singularity formation don't depend on the polytropic index.

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Cited by 3 Pith papers

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

  1. Shadow of the generalized Vaidya black hole

    gr-qc 2026-07 conditional novelty 5.0 of 10

    For self-similar Husain black holes, the barotropic index α controls the shadow: α<1/2 enlarges it, α>1/2 shrinks it, with a quasistatic influx criterion for the time-dependent case.

  2. Barotropic Equation of State and Nonlinear Electrodynamics in Dynamical Black Hole Spacetimes

    gr-qc 2025-04 reject novelty 4.0 of 10

    The paper's identification of the Husain solution's integration constant with nonlinear electrodynamics charges is undermined by internal inconsistencies in the reconstruction.

  3. 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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