The Dirac equation in curved spacetimes using coordinate-free notation
Mathematical Physics
2013-09-18 v2 General Relativity and Quantum Cosmology
math.MP
Abstract
The Dirac equation in curved spacetimes is formulated using coordinate-free notation. A Lagrangean density which corresponds to the subject equation is presented. The subject equation is invariant under a local rotation of the coframe. The current is independent of the local orientation of the coframe and it is conserved. The subject equation has an equivalent formulation which uses the Christoffel gamma. The stress-energy tensor is calculated.
Keywords
Cite
@article{arxiv.1006.1344,
title = {The Dirac equation in curved spacetimes using coordinate-free notation},
author = {Mihai Moise},
journal= {arXiv preprint arXiv:1006.1344},
year = {2013}
}
Comments
29 pages. V2: corrected a result