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Stability of naked singularities and algebraically special modes

Vitor Cardoso·Marco Cavaglia
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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.

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Vitor Cardoso, Marco Cavaglia. 2006-07-20. Stability of naked singularities and algebraically special modes. https://doi.org/10.1103/physrevd.74.024027

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