Cosmic kinematic dynamos in non-singular anisotropic universe

TL;DR

This paper investigates cosmic kinematic dynamos within a non-singular anisotropic Kasner universe, revealing magnetic fields that are frozen and stretched in specific directions, with a model that exhibits an inflationary phase.

Contribution

It introduces a novel analysis of magnetic field behavior in a non-singular anisotropic universe using Einstein's equations, highlighting a marginally excited dynamo with periodic flow.

Findings

Magnetic fields are frozen and stretched along certain directions.

The model exhibits an inflationary phase.

Flow velocity is orthogonal to magnetic sheets.

Abstract

A marginally excited cosmic kinematic dynamo is found in the background of a non-singular anisotropic Kasner cosmological metric solution of Einstein field equation of general relativity. The magnetic field is not amplified but is frozen inside the universe. Since a finite resistivity is assumed, a nonsingular flow velocity is orthogonal to the magnetic field plane. The model presents an inflationary phase. Magnetic field components are stretched along the orthogonal planar directions while the flow is orthogonal to this magnetic sheet. The self-induction magnetohydrodynamic field equation in Kasner universe may be written in the form of a polynomial in the time coordinate which yields a periodic flow.