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Dirac equation in spacetimes with torsion and non-metricity

M. Adak·T. Dereli·L. H. Ryder
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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.

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M. Adak, T. Dereli, L. H. Ryder. 2002-08-16. Dirac equation in spacetimes with torsion and non-metricity. https://doi.org/10.1142/s0218271803002445

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