Wormholes Threaded by Chiral Fields

Abstract

We consider Lorentzian wormholes with a phantom field and chiral matter fields. The chiral fields are described by the non-linear sigma model with or without a Skyrme term. When the gravitational coupling of the chiral fields is increased, the wormhole geometry changes. The single throat is replaced by a double throat with a belly inbetween. For a maximal value of the coupling, the radii of both throats reach zero. Then the interior part pinches off, leaving a closed universe and two (asymptotically) flat spaces. A stability analysis shows that all wormholes threaded by chiral fields inherit the instability of the Ellis wormhole.

14 pages, 9 figures

References in corpus (4)

• Instability of wormholes supported by a ghost scalar field. I. Linear stability analysis
• Wormhole throats in $R^m$ gravity
• Mixed neutron-star-plus-wormhole systems: Linear stability analysis
• Mixed neutron-star-plus-wormhole systems: Equilibrium configurations

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