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arXiv · 1503.04402

Modeling a nonperturbative spinor vacuum interacting with a strong gravitational wave

Vladimir Dzhunushaliev·Vladimir Folomeev
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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.

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Vladimir Dzhunushaliev, Vladimir Folomeev. 2015-03-15. Modeling a nonperturbative spinor vacuum interacting with a strong gravitational wave. https://arxiv.org/abs/1503.04402

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