On Properties of Vacuum Axial Symmetric Spacetime of Gravitomagnetic Monopole in Cylindrical Coordinates
V. G. Kagramanova, B. J. Ahmedov
TL;DR
This paper explores the effects of gravitomagnetic monopoles in cylindrical NUT spacetimes, analyzing test particle motion and electromagnetic fields, revealing how monopole strength influences orbit stability and providing exact solutions for electromagnetic fields.
Contribution
It presents new analysis of test particle dynamics and electromagnetic solutions in cylindrical NUT spacetimes, highlighting the impact of gravitomagnetic monopoles on stability and field configurations.
Findings
Stability bounds of circular orbits shift towards the horizon with increasing monopole moment.
Derived exact solutions for electromagnetic fields around cylindrical NUT stars.
Showed dependence of effective potential on NUT parameter and orbital momentum.
Abstract
We investigate general relativistic effects associated with the gravitomagnetic monopole moment of gravitational source through the analysis of the motion of test particles and electromagnetic fields distribution in the spacetime around nonrotating cylindrical NUT source. We consider the circular motion of test particles in NUT spacetime, their characteristics and the dependence of effective potential on the radial coordinate for the different values of NUT parameter and orbital momentum of test particles. It is shown that the bounds of stability for circular orbits are displaced toward the event horizon with the growth of monopole moment of the NUT object. In addition, we obtain exact analytical solutions of Maxwell equations for magnetized and charged cylindrical NUT stars.
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