A naked singularity stable under scalar field perturbations

Abstract

We prove the stability of a spacetime with a naked singularity under scalar field perturbations, where the perturbations are regular at the singularity. This spacetime, found by Janis, Newman and Winicour, and independently by Wyman, is sourced by a massless scalar field and also arises as a certain limit of a class of charged dilatonic solutions in string theory. This stability result opens up specific questions for investigation related to the cosmic censorship conjecture and the mechanism by which it is implemented in nature.

19 pages, version to appear in IJMPD, references added

References in corpus (7)

• Time delay and magnification centroid due to gravitational lensing by black holes and naked singularities
• Circular geodesics and accretion disks in Janis-Newman-Winicour and Gamma metric
• Instability of the negative mass Schwarzschild naked singularity
• Instability of charged and rotating naked singularities
• Acceleration of particles by Janis-Newman-Winicour singularities
• Instabilities of naked singularities and black hole interiors in General Relativity
• Odd-parity perturbations of self-similar Vaidya spacetime

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• Rotating traversable wormholes in Einstein-Maxwell theory
• Linear perturbations of Einstein-Gauss-Bonnet black holes
• Negative Time Delay in Strongly Naked Singularity Lensing
• Decoupling limit and throat geometry of non-susy D3 brane
• On the stability of electrovacuum space-times in scalar-tensor gravity
• Axial perturbations of black holes in scalar-tensor gravity: near-horizon behaviour
• Stability analysis of (a class of) anisotropic spacetimes
• Noise Kernel for Reissner Nordstrom Metric: Results at Cauchy Horizon
• Supergravity $p$-branes with scalar charge