Stability of naked singularities and algebraically special modes

Details Stability of naked singularities and algebraically special modes Stability of naked singularities and algebraically special modes

2006-04-22

arxiv.org/abs/gr-qc/0604101v2

Phys.Rev. D74 (2006) 024027

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages. ReVTeX4. v2: Minor improvements and extended discussion on boundary conditions. Version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.74.024027

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.

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