DIRAC EQUATION IN SPACETIMES WITH NON-METRICITY AND TORSION

Author:

ADAK M.1,DERELI T.2,RYDER L. H.3

Affiliation:

1. Department of Physics, Pamukkale University, 20100 Denizli, Turkey

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

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

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Space and Planetary Science,Astronomy and Astrophysics,Mathematical Physics

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