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Traversable wormholes in Einstein-Dirac-Maxwell theory
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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 $Q_e$, with $Q_e/M>1$. An exact wormhole solution with ungauged, massless fermions is also reported.
Forward citations
Cited by 4 Pith papers
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Obstructions to Traversable Wormholes in Einstein-Dirac Theory
Traversable wormholes do not appear to exist as static, spherically symmetric solutions of the Einstein-Dirac system sourced by normalizable positive-frequency Dirac fields.
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Chaotic particle dynamics near a traversable wormhole throat
Confined test particles near a wormhole throat show high-energy chaos coexisting with surviving KAM tori, in contrast to horizon-driven chaos in black holes.
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Multishell Dirac fermions in the Einstein-Dirac system
Multishell solutions of the spherically symmetric Einstein-Dirac system are constructed for 2, 6, 12, and 20 fermions.
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Dynamical evolution and stability of quantum corrected Schwarzschild black holes in semiclassical gravity
The static quantum corrected Schwarzschild wormhole is dynamically unstable: it expands in vacuum and collapses into an evaporating black hole when a small amount of matter is present.
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