# Diamagnetic field states in cosmological plasmas

## TL;DR

This paper investigates how diamagnetic magnetic and velocity fields can naturally form and evolve in the early universe's relativistic plasmas without external seeds, revealing a superconductor-like behavior linked to cosmic expansion.

## Contribution

It introduces a covariant formalism for relativistic plasmas to derive self-sustained diamagnetic fields and explores a novel superconductor-like state in cosmological plasmas during the radiation era.

## Key findings

- Magnetic and velocity fields can be self-sustained in a diamagnetic state in an expanding universe.
- A class of 'superconductor-like' fields with vanishing generalized vorticity is identified.
- These fields grow proportionally to the scale factor during the radiation era.

## Abstract

Using a generally covariant Electro-Vortic (magnetofluid) formalism for relativistic plasmas, the dynamical evolution of a generalized vorticity (a combination of the magnetic and kinematic parts) is studied in a cosmological context. We derive macroscopic vorticity and magnetic field structures that can emerge in spatial equilibrium configurations of the relativistic plasma. These fields, however, evolve in time. These magnetic and velocity fields fields are self-consistently sustained in a diamagnetic state in the expanding Universe, and do not require an external seed for their existence. In particular, we explore a special class of magnetic/velocity field structures supported by a plasma in which the generalized vorticity vanishes. We derive a highly interesting characteristic of such "superconductor--like" fields in a cosmological plasmas in the radiation--era in early Universe. In that case, the fields grow proportional to the scale factor, establishing a deep connection between the expanding universe and the primordial magnetic fields.