Motion of the charged test particles in Kerr-Newman-Taub-NUT spacetime and analytical solutions

TL;DR

This paper analyzes the motion of charged particles in Kerr-Newman-Taub-NUT spacetime, providing analytical solutions and examining orbit types, stability, and observable effects like perihelion shift and Lense-Thirring precession.

Contribution

It presents the first analytical solutions of charged particle motion in Kerr-Newman-Taub-NUT spacetime using elliptic functions and explores orbit stability and observable phenomena.

Findings

Analytical solutions expressed via Jacobian and Weierstrass elliptic functions.

Classification and stability analysis of orbit types.

Calculations of perihelion shift and Lense-Thirring effect.

Abstract

In this work, we study the motion of charged test particles in Kerr-Newman-Taub-NUT spacetime. We analyze the angular and the radial parts of the orbit equations and examine the possible orbit types. We also investigate the spherical orbits and their stabilities. Furthermore, we obtain the analytical solutions of the equations of motion and express them in terms of Jacobian and Weierstrass elliptic functions. Finally, we discuss the observables of the bound motion and calculate the perihelion shift and Lense-Thirring effect for three dimensional bound orbits.