Topologically nontrivial solution in Einstein-Dirac gravity on the Hopf bundle
General Physics
2016-12-22 v1
Abstract
The topologically nontrivial solution in Einstein-Dirac gravity with cosmological constant is obtained. The spacetime has the Hopf bundle as a spatial section. It is shown that the Hopf invariant is related to the spinor current density. Two Dirac spinors are used for obtaining a diagonal energy-momentum tensor. The solutions for the nongravitating Dirac equation on the background of Lorentzian spacetime with the Hopf bundle as a spatial section are also obtained. Nongravitating solutions of the Dirac equation are defined by two quantum half-integer numbers .
Keywords
Cite
@article{arxiv.1612.07149,
title = {Topologically nontrivial solution in Einstein-Dirac gravity on the Hopf bundle},
author = {Vladimir Dzhunushaliev},
journal= {arXiv preprint arXiv:1612.07149},
year = {2016}
}
Comments
8 pages, 1 figure