The structure of the generalized Vaidya space–time containing the eternal naked singularity
Vitalii Vertogradov
Abstract
In this paper, the structure of the generalized Vaidya space–time when the type-II of the matter field satisfies the equation of the state [Formula: see text] is investigated. Satisfying all energy conditions, we show that this space–time 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 space–time contains only null naked singularity.
Topics & Concepts
Naked singularitySingularityPhysicsRing singularitySpacetimeMathematical physicsEnergy conditionHorizonClassical mechanicsEssential singularitySingularity theoryGravitational singularityQuantum mechanicsGeometryMathematicsGeneral relativityde Sitter–Schwarzschild metricSchwarzschild radiusAstronomyCosmology and Gravitation TheoriesBlack Holes and Theoretical PhysicsAdvanced Differential Geometry Research