Asymptotically flat gravitating spinor field solutions. Step 3 - Einstein-Dirac equations: cylindric case
General Relativity and Quantum Cosmology
2011-04-18 v2
Abstract
Einstein-Dirac equations for two spinor fields are considered. It is shown that in this case one can obtain self-consistent equations set for these gravitating spinors. The key idea to obtain Einstein-Dirac equations is to use special ans\"atze for spinor fields in order to zero some off-diagonal componentes of the spinor energy - momentum tensor.
Keywords
Cite
@article{arxiv.1104.0768,
title = {Asymptotically flat gravitating spinor field solutions. Step 3 - Einstein-Dirac equations: cylindric case},
author = {Vladimir Dzhunushaliev},
journal= {arXiv preprint arXiv:1104.0768},
year = {2011}
}
Comments
the sign of the energy - momentum tensor of spinor is discussed