Modeling a nonperturbative spinor vacuum interacting with a strong gravitational wave
Abstract
We consider the propagation of strong gravitational waves interacting with a nonperturbative vacuum of spinor fields. To described the latter, we suggest an approximate model. The corresponding Einstein equation has the form of the Schr\"odinger equation. Its gravitational-wave solution is analogous to the solution of the Schr\"odinger equation for an electron moving in a periodic potential. The general solution for the periodic gravitational waves is found. The analog of the Kronig-Penney model for gravitational waves is considered. It is shown that the suggested gravitational-wave model permits the existence of weak electric charge and current densities concomitant with the gravitational wave. Based on this observation, a possible experimental verification of the model is suggested.
Cite
@article{arxiv.1503.04402,
title = {Modeling a nonperturbative spinor vacuum interacting with a strong gravitational wave},
author = {Vladimir Dzhunushaliev and Vladimir Folomeev},
journal= {arXiv preprint arXiv:1503.04402},
year = {2015}
}
Comments
9 pages, 2 figures