On the stability of naked singularities

نویسندگان

  • Gary W. Gibbons
  • Sean A. Hartnoll
  • Akihiro Ishibashi
چکیده

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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تاریخ انتشار 2004