On the stability of naked singularities
High Energy Physics - Theory
2009-10-07 v1 General Relativity and Quantum Cosmology
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0409307,
title = {On the stability of naked singularities},
author = {Gary W. Gibbons and Sean A. Hartnoll and Akihiro Ishibashi},
journal= {arXiv preprint arXiv:hep-th/0409307},
year = {2009}
}
Comments
20 pages. 5 figures