Dirac equation in spacetimes with torsion and non-metricity

Abstract

Dirac equation is written in a non-Riemannian spacetime with torsion and non-metricity by lifting the connection from the tangent bundle to the spinor bundle over spacetime. Foldy-Wouthuysen transformation of the Dirac equation in a Schwarzschild background spacetime is considered and it is shown that both the torsion and non-metricity couples to the momentum and spin of a massive, spinning particle. However, the effects are small to be observationally significant.

12 pages LATEX file, no figures, to appear in Int. J. Mod. Phys. D

References in corpus (1)

• Spin, gravity, and inertia

Cited by in corpus (10)

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• Non-minimally coupled Dirac equation with torsion: Poincaré gauge theory of gravity with even and odd parity terms
• Inconsistencies of nonmetric Einstein-Dirac-Maxwell theories and a cure for geometric flows of f(Q) black ellipsoid, toroid and wormhole solutions