Particle Motion and Electromagnetic Fields of Rotating Compact Gravitating Objects with Gravitomagnetic Charge

TL;DR

This paper derives electromagnetic field solutions for Kerr-Taub-NUT objects in magnetic fields, analyzes charged particle motion, and provides analytical solutions for Maxwell equations around a magnetized NUT star, revealing how NUT parameters influence orbit stability.

Contribution

It presents new exact solutions for electromagnetic fields around Kerr-Taub-NUT objects and analyzes the impact of NUT parameters on particle orbits and magnetic field configurations.

Findings

NUT parameter and magnetic field influence stable orbit locations.

Analytical Maxwell solutions for a slowly rotating NUT star.

Magnetic field and NUT charge shift stable circular orbits.

Abstract

The exact solution for the electromagnetic field occuring when the Kerr-Taub-NUT compact object is immersed (i) in an originally uniform magnetic field aligned along the axis of axial symmetry (ii) in dipolar magnetic field generated by current loop has been investigated. Effective potential of motion of charged test particle around Kerr-Taub-NUT gravitational source immersed in magnetic field with different values of external magnetic field and NUT parameter has been also investigated. In both cases presence of NUT parameter and magnetic field shifts stable circular orbits in the direction of the central gravitating object. Finally we find analytical solutions of Maxwell equations in the external background spacetime of a slowly rotating magnetized NUT star. The star is considered isolated and in vacuum, with monopolar configuration model for the stellar magnetic field.