The paper formulates nonmetric Einstein-Dirac-Maxwell equations in f(Q) gravity and presents parametric off-diagonal black hole, wormhole, and toroid solutions generated by arbitrary functions, without explicit solutions for the spinor and gauge fields.
Dirac equation in non-Riemannian geometries
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abstract
We present the Dirac equation in a geometry with torsion and non-metricity balancing generality and simplicity as much as possible. In doing so, we use the vielbein formalism and the Clifford algebra. We also use an index-free formalism which allows us to construct objects that are totally invariant. It turns out that the previous apparatuses not only make possible a simple deduction of the Dirac equation but also allow us to exhibit some details that is generally obscure in the literature.
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physics.gen-ph 1years
2025 1verdicts
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Inconsistencies of nonmetric Einstein-Dirac-Maxwell theories and a cure for geometric flows of f(Q) black ellipsoid, toroid and wormhole solutions
The paper formulates nonmetric Einstein-Dirac-Maxwell equations in f(Q) gravity and presents parametric off-diagonal black hole, wormhole, and toroid solutions generated by arbitrary functions, without explicit solutions for the spinor and gauge fields.