Nonlinear instability of wormholes supported by exotic dust and a magnetic field
General Relativity and Quantum Cosmology
2010-04-06 v2
Abstract
Recently, spherically symmetric, static wormholes supported by exotic dust and a radial magnetic field have been derived and argued to be stable with respect to linear radial fluctuations. In this report we point out that these wormholes are unstable due to the formation of shell-crossing singularities when the nonlinearities of the theory are taken into account.
Keywords
Cite
@article{arxiv.1001.1202,
title = {Nonlinear instability of wormholes supported by exotic dust and a magnetic field},
author = {Olivier Sarbach and Thomas Zannias},
journal= {arXiv preprint arXiv:1001.1202},
year = {2010}
}
Comments
5 pages, no figures. A small paragraph added in Sec. III. An appendix added explaining the derivation of the main equations