Spin-Polarised Cylinders and Torsion Balances to test Einstein-Cartan Gravity?

TL;DR

This paper explores solutions in Einstein-Cartan gravity involving spin-polarized cylinders, including magnetic and non-magnetic cases, and discusses their potential for experimental tests of spin-dependent gravitational effects.

Contribution

It introduces specific solutions for spin-polarized cylinders in Einstein-Cartan gravity, linking theoretical models with experimental spin-polarized mass tests.

Findings

Solutions include spin-polarized cylinders with magnetic fields

Potential experimental tests using high spin density masses

Theoretical models relate to spin-dependent gravitational effects

Abstract

Spin-Polarised cylinders with and without axial magnetic fields are obtained as particular families of solutions of Einstein-Cartan gravity (EC).The first solution represents a spin-polarised cylinder in teleparallel gravity.The second solution is a magnetized solution representing a spin-polarised cylinder where the magnetic fields and spins are distributed along the infinite axis of the cylinder.Altough it seems that the first solution is less realist than the second it could be obtained by shielding the magnetic fields with a superconductor.The second solution is computed by taking into account the Ritter et al. experiment with the test spin-polarized mass to test spin dependent forces.Ritter experiment deals with a test mass with $>10^{23}$ spin polarized electrons which leads to a spin density of $10^{-4}gcm^{-1}s^{-1}$.