Traversable wormholes in Einstein-Dirac-Maxwell theory
Abstract
We construct a specific example of a class of traversable wormholes in Einstein-Dirac-Maxwell theory in four spacetime dimensions, without needing any form of exotic matter. Restricting to a model with two massive fermions in a singlet spinor state, we show the existence of spherically symmetric asymptotically flat configurations which are free of singularities, representing localized states. These solutions satisfy a generalized Smarr relation, being connected with the extremal Reissner-Nordstr\"om black holes. They also possess a finite mass M and electric charge Qe, with Qe/M>1. An exact wormhole solution with ungauged, massless fermions is also reported.
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