Spin polarised magnetized cylinder in torsioned spacetime

TL;DR

This paper derives exact solutions for a magnetized, spin-polarized cylindrical spacetime in Einstein-Cartan-Maxwell gravity, revealing a static configuration with specific pressure characteristics.

Contribution

It introduces a new class of exact solutions for magnetized, spin-polarized cylinders in Einstein-Cartan-Maxwell gravity, analyzing their static nature and matching conditions.

Findings

Riemann-Cartan rotation vanishes, making the solution static.

The interior solution has negative pressure along the axis.

Matching conditions with vacuum solutions are satisfied.

Abstract

A Spin-polarised cylindrically symmetric exact class of solutions endowed with magnetic fields in Einstein-Cartan-Maxwell gravity is obtained. Application of matching conditions to this interior solution having an exterior as Einstein's vacuum solution shows that for this class of metrics the Riemann-Cartan (RC) rotation vanishes which makes the solution static. Therefore we end up with a magnetized static spin polarised cylinder where the pressure along the symmetry axis is negative.