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Vaidya and generalized Vaidya solutions by gravitational decoupling

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arxiv 2209.07441 v2 pith:B7H7WP4Y submitted 2022-09-15 gr-qc

Vitalii Vertogradov , Maxim Misyura This is my paper · ORCID
classification gr-qc
keywords functioncasecasesdecouplingmassvaidyadynamicalgravitational
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abstract

In this paper we apply the gravitational decoupling method for dynamical systems in order to obtain a new type of solution which can describe a hairy dynamical black hole. We consider three cases of decoupling. The first one is the simplest and well-known when the mass function is the function only of space coordinate $r$. The second case is Vaidya spacetime case when the mass function depends on time $v$ . And the third case represents the generalization of these two cases: the mass function is the function of both $r$ and $v$. We also calculate the apparent horizon and singularity location for all three cases.

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Cited by 2 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. 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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