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2020

Traversable wormholes in Einstein-Dirac-Maxwell theory

Blázquez-Salcedo, Jose Luis, Knoll, Christian, Radu, Eugen

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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 $Q_e/M>1$.

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2002

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We use the notation and conventions in Ref. [ 10 ]

Cited in the paper.

As shown in Refs. [ 14 ] , [ 15 ] , the EDM solitons possess no BH generalizations

Cited in the paper.

F. Finster, J. A. Smoller and S. T. Yau, [arXiv:gr-qc/9910030 [gr-qc]]

Cited in the paper.

M. Cariglia and G. W. Gibbons, [arXiv:1806.05047 [gr-qc]]

Cited in the paper.

The EDM equations are solved by employing a solver [ 19 ] which uses a collocation method for boundary-value ODEs together with a damped Newton method of quasi-linearization. Typical meshes include around 10 4 10^{4} points, the relative accuracy of the solutions being around 10 − 10 10^{-10}

Cited in the paper.

H. G. Ellis, J. Math. Phys. 14

2019

Later among the works it cites.

M. Wielgus, J. Horak, F. Vincent and M. Abramowicz, Phys. Rev. D 102

2020

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