The Dirac Equation and the Normalization of its Solutions in a Closed Friedmann-Robertson-Walker Universe
Mathematical Physics
2013-02-07 v4 General Relativity and Quantum Cosmology
math.MP
Abstract
We set up the Dirac equation in a Friedmann-Robertson-Walker geometry and separate the spatial and time variables. In the case of a closed universe, the spatial dependence is solved explicitly, giving rise to a discrete set of solutions. We compute the probability integral and analyze a space-time normalization integral. This analysis allows us to introduce the fermionic projector in a closed Friedmann-Robertson-Walker geometry and to specify its global normalization as well as its local form.
Keywords
Cite
@article{arxiv.0901.0602,
title = {The Dirac Equation and the Normalization of its Solutions in a Closed Friedmann-Robertson-Walker Universe},
author = {Felix Finster and Moritz Reintjes},
journal= {arXiv preprint arXiv:0901.0602},
year = {2013}
}
Comments
22 pages, LaTeX, sign error in equation (3.7) corrected