Non-geodesic orbital and epicyclic frequencies in vicinity of slowly rotating magnetized neutron stars

TL;DR

This paper investigates how magnetic fields and slow rotation of neutron stars influence the orbital and epicyclic frequencies of charged particles, revealing non-geodesic effects in their motion.

Contribution

It provides a relativistic analysis of electromagnetic and rotational effects on particle orbits near magnetized, slowly rotating neutron stars, extending previous geodesic models.

Findings

Electromagnetic interactions significantly alter orbital frequencies.

Rotation and magnetic fields jointly influence epicyclic frequencies.

Numerical solutions demonstrate non-geodesic corrections to particle motion.

Abstract

We study non-geodesic corrections to the quasicircular motion of charged test particles in the field of magnetized slowly rotating neutron stars. The gravitational field is approximated by the Lense-Thirring geometry, the magnetic field is of the standard dipole character. Using a fully-relativistic approach we determine influence of the electromagnetic interaction (both attractive and repulsive) on the quasicircular motion. We focus on the behaviour of the orbital and epicyclic frequencies of the motion. Components of the four-velocity of the orbiting charged test particles are obtained by numerical solution of equations of motion, the epicyclic frequencies are obtained by using the standard perturbative method. The role of the combined effect of the neutron star magnetic field and its rotation in the character of the orbital and epicyclic frequencies is discussed.