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Generalized Vaidya spacetime: horizons, conformal symmetries, surface gravity and diagonalization

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arxiv 2212.07130 v2 pith:YWFEFDIS submitted 2022-12-14 gr-qc

Vitalii Vertogradov , Dmitriy Kudryavcev This is my paper · ORCID
classification gr-qc
keywords spacetimevaidyageneralizedhorizonscasesconformalconformally-staticcoordinates
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In this paper, the different properties of generalized Vaidya spacetime are considered. We define the location of horizons. We show that the apparent horizon can contain the event horizon. The locations of all types of horizons are compared with ones in the usual Vaidya spacetime. We investigate the timelike geodesics in this spacetime. New corrections to Schwarzschild and Vaidya cases appear and we give conditions when these corrections are not negligible. Also, we consider the conformal Killing vector and transform the metric to conformally-static coordinates. We introduce a new constant of motion along null and timelike geodesics, which is generated by a homothetic Killing vector. The conformally-static coordinates allow diagonalizing of the generalized Vaidya spacetime. The surface gravity has been calculated for the dust and stiff fluid cases.

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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. Energy Extraction and Evolution of Regular Black Holes: The Case of Bardeen Spacetime

    gr-qc 2025-08 reject novelty 4.0 of 10

    A Bardeen regular black hole could evolve into a singular black hole if a charged Penrose process drains its magnetic charge.

  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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