Conditions for the naked singularity formation in generalized Vaidya spacetime

18th International Conference PhysicA.SPb

Vertogradov, V.D.^1

Department of Theoretical Physics, Herzen University, St.-Petersburg

191186, Russia^1

关键词: Black holes;    Gravitational collapse;    Mass functions;    Naked singularities;    Spacetime;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/769/1/012013/pdf
DOI  :  10.1088/1742-6596/769/1/012013

来源: IOP

【 摘 要 】

The gravitational collapse of generalised Vaidya spacetime is considered. It is known that the endstate of gravitational collapse, as to whether a black hole or a naked singularity is formed, depends on the mass function M(v,r). Here we give conditions for the mass function which corresponds to the equation of the state P = αρ where α ∈ (0,] and according to these conditions we obtain either a black hole or a naked singularity at the endstate of gravitational collapse. Also we give conditions for the mass function when the singularity is gravitationally strong. Also we provide the metric which is the analogue of Vaidya metric in case of rotation.