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The eternal naked singularity formation in the case of gravitational collapse of generalized Vaydia spacetime
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abstract
In this paper, we consider the gravitational collapse of generalized Vaidya space-time when the matter satisfies the equation of the state either $P=0$ or $P=-\alpha \rho$, where $0 < \alpha < 1$. We show that in the case when type I of matter field is dust, then the apparent horizon will never appear, but there is now a family of null radial future-directed geodesics which terminated at the central singularity in the past. Also, we show that in the case of negative pressure, the result of the gravitational collapse might be the naked singularity and the apparent horizon appears and in very short time disappears again. In the case of the negative pressure, we show that the result of the gravitational collapse might be the eternal naked singularity.
Forward citations
Cited by 3 Pith papers
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Shadow of the generalized Vaidya black hole
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.
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Energy Extraction and Evolution of Regular Black Holes: The Case of Bardeen Spacetime
A Bardeen regular black hole could evolve into a singular black hole if a charged Penrose process drains its magnetic charge.
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Formation of regular black hole from baryonic matter
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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