Some extensions of the Einstein-Dirac equation
Differential Geometry
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
We considered an extension of the standard functional for the Einstein-Dirac equation where the Dirac operator is replaced by the square of the Dirac operator and a real parameter controlling the length of spinors is introduced. For one distinguished value of the parameter, the resulting Euler-Lagrange equations provide a new type of Einstein-Dirac coupling. We establish a special method for constructing global smooth solutions of a newly derived Einstein-Dirac system called the {\it CL-Einstein-Dirac equation of type II} (see Definition 3.1).
Cite
@article{arxiv.math/0603676,
title = {Some extensions of the Einstein-Dirac equation},
author = {Eui Chul Kim},
journal= {arXiv preprint arXiv:math/0603676},
year = {2007}
}
Comments
21pages