Abstract
A new class of traversable wormholes was recently constructed which relies only on local bulk dynamics rather than an explicit coupling between distinct boundaries. Here we begin with a four-dimensional Weyl fermion field of any mass m propagating on a classical background defined by a Z2 quotient of (rotating) BTZ × S1. This setup allows one to compute the fermion stress-energy tensor exactly. For appropriate boundary conditions around a non-contractible curve, perturbative back-reaction at any m renders the associated wormhole traversable and suggests it can become eternally traversable at the limit where the background becomes extremal. A key technical step is the proper formulation of the method of images for fermions in curved spacetime. We find the stress- energy of spinor fields to have important kinematic differences from that of scalar fields, typically causing the sign of the integrated null stress-energy (and thus in many cases the sign of the time delay/advance) to vary around the throat of the wormhole. Similar effects may arise for higher-spin fields.
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ArXiv ePrint: 1908.03998
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Marolf, D., McBride, S. Simple perturbatively traversable wormholes from bulk fermions. J. High Energ. Phys. 2019, 37 (2019). https://doi.org/10.1007/JHEP11(2019)037
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DOI: https://doi.org/10.1007/JHEP11(2019)037