Nonlinear instability of wormholes supported by exotic dust and a magnetic field

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.

arXiv comment5 pages, no figures. A small paragraph added in Sec. III. An appendix added explaining the derivation of the main equations

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• Wormhole solutions in $f(R)$ Gravity