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The structure of the generalized Vaidya spacetime containing the eternal naked singularity

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arxiv 2209.10953 v2 pith:2IILWRNP submitted 2022-09-22 gr-qc

The structure of the generalized Vaidya spacetime containing the eternal naked singularity

classification gr-qc
keywords singularityspacetimenakedapparentcontainseternalgeneralizedhorizon
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper the structure of the generalized Vaidya spacetime when the type-II of the matter field satisfies the equation of the state $P=\rho$ is investigated. Satisfying all energy conditions we show that this spacetime contains the 'eternal' naked singularity. It means that once the singularity is formed it will never be covered with the apparent horizon. However, in the case of the apparent horizon formation the resulting object is a white hole. We also prove that this spacetime contains only null naked singularity.

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  1. Shadow of the generalized Vaidya black hole

    gr-qc 2026-07 conditional novelty 5.0

    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.