Energy spectra of spinning particles around spinning strings in Einstein-Cartan gravity

TL;DR

This paper investigates the energy spectra of classical spinning particles around spinning strings within Einstein-Cartan gravity, revealing continuous spectra, energy shifts, and spin-spin interactions affecting spectral splitting.

Contribution

It introduces a method using Riemannian Killing conserved currents to analyze energy spectra in Einstein-Cartan gravity, highlighting spin effects and spectral characteristics.

Findings

Continuous energy spectrum for planar open orbits.

Energy shift between bounds for circular orbits.

Spin-spin interaction causes spectral splitting.

Abstract

Riemannian Killing conserved currents are used to find the energy spectra of classical spinning particles moving around a spinning string in Einstein-Cartan (EC) theory of gravity. It is shown that a continuos spectrum is obtained for planar open orbits the energy shift between the upper and lower bounds obtained for circular planar orbits. A spin-spin effect between the spin of the test particle and the spin of the spinning string contributes to the energy spectrum splitting.