Phys. Rev. D 74, 024027 (2006) [5 pages]Stability of naked singularities and algebraically special modesReceived 26 April 2006; published 27 July 2006 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. © 2006 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.74.024027
DOI:
10.1103/PhysRevD.74.024027
PACS:
04.50.+h, 04.20.−q, 04.30.−w, 04.70.−s
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