English

A naked singularity stable under scalar field perturbations

General Relativity and Quantum Cosmology 2015-06-11 v4 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.1208.5838,
  title  = {A naked singularity stable under scalar field perturbations},
  author = {Amruta Sadhu and V. Suneeta},
  journal= {arXiv preprint arXiv:1208.5838},
  year   = {2015}
}

Comments

19 pages, version to appear in IJMPD, references added

R2 v1 2026-06-21T21:56:41.178Z