On the stability of naked singularities

Details On the stability of naked singularities On the stability of naked singularities

2004-09-30

arxiv.org/abs/hep-th/0409307v1

Prog.Theor.Phys.113:963-978,2005

Physics

High Energy Physics

High Energy Physics - Theory

20 pages. 5 figures

Scientific paper

10.1143/PTP.113.963

We study the linearised stability of the nakedly singular negative mass Schwarzschild solution against gravitational perturbations. There is a one parameter family of possible boundary conditions at the singularity. We give a precise criterion for stability depending on the boundary condition. We show that one particular boundary condition is physically preferred and show that the spacetime is stable with this boundary condition.

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