What wormhole is traversable?: A case of a wormhole supported by a spherical thin shell

Abstract

We analytically explore the effect of falling matter on a spherically symmetric wormhole supported by a spherical shell composed of exotic matter located at its throat. The falling matter is assumed to be also a thin spherical shell concentric with the shell supporting the wormhole, and its self-gravity is completely taken into account. We treat these spherical thin shells by Israel's formalism of metric junction. When the falling spherical shell goes through the wormhole, it necessarily collides with the shell supporting the wormhole. To treat this collision, we assume the interaction between these shells is only gravity. We show the conditions on the parameters that characterize this model in which the wormhole persists after the spherical shell goes through it.

23 pages, 8 figures

References in corpus (6)

• Traversable wormholes: Some simple examples
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Cited by in corpus (6)

• Novel shadows from the asymmetric thin-shell wormhole
• Linear stability analysis of a rotating thin-shell wormhole
• Linearization stability of reflection-asymmetric thin-shell wormholes with double shadows
• Non-linear stability of a brane wormhole
• Relation between circular photon orbits and the stability of wormholes with the thin shell of a barotropic fluid
• A static spherically symmetric thin shell wormhole colliding with a spherical thin shell