Stability of naked singularities and algebraically special modes
General Relativity and Quantum Cosmology
2009-11-11 v2 Astrophysics
High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
We show that algebraically special modes lead to the instability of naked singularity spacetimes with negative mass. Four-dimensional negative-mass Schwarzschild and Schwarzschild-de Sitter spacetimes are unstable. Stability of the Schwarzschild-anti-de Sitter spacetime depends on boundary conditions. We briefly discuss the generalization of these results to charged and rotating singularities.
Keywords
Cite
@article{arxiv.gr-qc/0604101,
title = {Stability of naked singularities and algebraically special modes},
author = {Vitor Cardoso and Marco Cavaglia},
journal= {arXiv preprint arXiv:gr-qc/0604101},
year = {2009}
}
Comments
6 pages. ReVTeX4. v2: Minor improvements and extended discussion on boundary conditions. Version to appear in Phys. Rev. D