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

TL;DR

This paper demonstrates that spherically symmetric wormholes supported by exotic dust and magnetic fields, previously thought stable, are actually nonlinearly unstable due to shell-crossing singularities.

Contribution

It reveals the nonlinear instability of certain wormholes, challenging prior claims of their linear stability under radial fluctuations.

Findings

Wormholes are unstable under nonlinear effects.

Shell-crossing singularities develop in these models.

Previous linear stability results do not hold in nonlinear regimes.

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.