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The dynamical stability of the static real scalar field solutions to the Einstein-Klein-Gordon equations revisited

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arxiv gr-qc/9809014 v1 pith:3PJN5567 submitted 1998-09-02 gr-qc

M. A. Clayton , L. Demopoulos , J. Legare This is my paper
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keywords solutionsdynamicalstabilitystaticsystemcorrectdemonstrateearlier
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We re-examine the dynamical stability of the nakedly singular, static, spherical ly symmetric solutions of the Einstein-Klein Gordon system. We correct an earlier proof of the instability of these solutions, and demonstrate that there are solutions to the massive Klein-Gordon system that are perturbatively stable.

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  1. Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields

    gr-qc 2025-07 conditional novelty 5.0 of 10

    Static spherically symmetric scalar-field spacetimes with small scalar charge are linearly unstable to radial perturbations, giving numerical support for cosmic censorship in this class.

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