Spin polarised particles in Goedel world

TL;DR

This paper investigates the motion of classical spinning particles in Godel universe within General Relativity, analyzing energy characteristics based on spin polarization directions and identifying conditions for minimum energy configurations.

Contribution

It provides a detailed analysis of spinning particle dynamics in Godel spacetime, highlighting how spin polarization affects energy minima and spectrum, which is a novel exploration in this context.

Findings

Minimum energy occurs for spinless particles when polarized along y-axis.

Spinning particles have lower energy minima when polarized along x and z axes.

The energy spectrum of particles in Godel universe is continuous.

Abstract

The motion of classical test spinning particles in Godel universe in the realm of Einstein's General Relativity (GR) is investigated by making use of Killing conserved currents. We consider three distinct cases of motion of spinning particles polarized along the three distinct axes of the anisotropic metric. It is shown that in the case the spin is polarised along the y-direction the minimum energy of the motion is attained for only for spinless particles while the other two directions the minimum energy is obtained for spinning particles. The continuos energy spectrum is also computed.