A naked singularity stable under scalar field perturbations

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...

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Bibliographic Details
Published in:arXiv.org 2013-02
Main Authors: Sadhu, Amruta, Suneeta, V
Format: Article
Language:English
Subjects:
Censorship
Dilatons
Expanding universe theory
Relativity
Spacetime
Stability
String theory
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1208.5838