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arXiv · 2402.00420

Anisotropic Einstein universes with a global magetic field and SqK-spinors

Fumihiro Ueno·Satsuki Matsuno
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Abstract

We consider an Einstein-Dirac-Maxwell system with two charged massless spinors coupled with an electromagnetic field, and construct a family of exact solutions to the system. The solution spacetime is an anisotropic generalization of the static Einstein universe which has a global cosmic magnetic field generated by the current of the spinors. The spacetime is regarded as a toy model which describes global cosmic magnetic phenomena in the universe. The spinors are induced from Sasakian quasi-Killing spinors, and the total Dirac current flows along fibers of the Hopf-fibration. The magnetic field is a contact magnetic field.

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Fumihiro Ueno, Satsuki Matsuno. 2024-02-01. Anisotropic Einstein universes with a global magetic field and SqK-spinors. https://doi.org/10.1093/ptep/ptae098

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