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

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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

Scientific paper

10.1103/PhysRevD.81.047502

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.

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