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On the stability of naked singularities

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arxiv hep-th/0409307 v1 pith:BZKM2TIF submitted 2004-09-30 hep-th gr-qc

Gary W. Gibbons , Sean A. Hartnoll , Akihiro Ishibashi This is my paper · ORCID
classification hep-thgr-qc
keywords boundaryconditionstabilityconditionscriteriondependingfamilygive
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We study the linearised stability of the nakedly singular negative mass Schwarzschild solution against gravitational perturbations. There is a one parameter family of possible boundary conditions at the singularity. We give a precise criterion for stability depending on the boundary condition. We show that one particular boundary condition is physically preferred and show that the spacetime is stable with this boundary condition.

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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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