Dirac equation in spacetimes with torsion and non-metricity

Details Dirac equation in spacetimes with torsion and non-metricity Dirac equation in spacetimes with torsion and non-metricity

2002-08-16

arxiv.org/abs/gr-qc/0208042v1

Int.J.Mod.Phys. D12 (2003) 145-156

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1142/S0218271803002445

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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