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DIRAC EQUATION IN SPACETIMES WITH NON-METRICITY AND TORSION

M. ADAK

Department of Physics, Pamukkale University, 20100 Denizli, Turkey

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T. DERELI

Department of Physics, Koç University, 80910 Sarıyer, İstanbul, Turkey

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, and

L. H. RYDER

Department of Physics, University of Kent, Canterbury, Kent CT2 7NF, UK

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https://doi.org/10.1142/S0218271803002445Cited by:13 (Source: Crossref)

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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