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

Abstract

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.

10 pages, Published in International Journal of Modern Physics A

References in corpus (1)

• The eternal naked singularity formation in the case of gravitational collapse of generalized Vaydia spacetime

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• Geodesic structure of generalized Vaidya spacetime through the K-essence
• Regular Black Hole Models in the Transition from Baryonic Matter to Quark Matter
• On the particle collisions during gravitational collapse of Vaidya spacetimes