Self-gravitating skyrmions
Abstract
A self-gravitating Skyrmion is an analytic and globally regular solution of the Einstein–Skyrme system with nonvanishing topological charge. The spacetime is the direct product R×S3 and the Skyrmion is the self-gravitating generalization of the static hedgehog solution of Manton and Ruback. This solution can be promoted to a dynamical one in which the spacetime is a cosmology of the Bianchi type-IX and, through an analytic continuation, it can also be turned into a transversable asymptotically AdS Lorentzian wormhole. The stress–energy of this wormhole satisfies physically realistic energy conditions and the only “exotic matter” required by it is a negative cosmological constant.
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