On the stability of naked singularities

Gary W. Gibbons, Sean A. Hartnoll, Akihiro Ishibashi

Published 2004-09-30Version 1

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.