Dirac equation in spacetimes with torsion and non-metricity
General Relativity and Quantum Cosmology
2009-11-07 v1
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.
Keywords
Cite
@article{arxiv.gr-qc/0208042,
title = {Dirac equation in spacetimes with torsion and non-metricity},
author = {M. Adak and T. Dereli and L. H. Ryder},
journal= {arXiv preprint arXiv:gr-qc/0208042},
year = {2009}
}
Comments
12 pages LATEX file, no figures, to appear in Int. J. Mod. Phys. D