Non-linear stability of a brane wormhole

Abstract

We analytically study the non-linear stability of a spherically symmetric wormhole supported by an infinitesimally thin brane of negative tension, which has been devised by Barcelo and Visser. We consider a situation in which a thin spherical shell composed of dust falls into an initially static wormhole; The dust shell plays a role of the non-linear disturbance. The self-gravity of the falling dust shell is completely taken into account through Israel's formalism of the metric junction. When the dust shell goes through the wormhole, it necessarily collides with the brane supporting the wormhole. We assume the interaction between these shells is only gravity and show the condition under which the wormhole stably persists after the dust shell goes through it.

32 pages, 10 figure. arXiv admin note: substantial text overlap with arXiv:1306.6917

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Cited by in corpus (5)

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• Wormhole solutions in generalized Rastall gravity
• Relation between circular photon orbits and the stability of wormholes with the thin shell of a barotropic fluid
• Thin-shell wormholes in Einstein and Einstein-Gauss-Bonnet theories of gravity