On properties of vacuum axially symmetric spacetime of gravitomagnetic monopole in cylindrical coordinates

We investigate general relativistic effects associated with the gravitomagnetic monopole moment of a gravitational source through the analysis of the motion of test particles and electromagnetic fields distribution in the spacetime around the nonrotating cylindrical NUT source. We consider the circular motion of test particles in the NUT spacetime, their characteristics and the dependence of the effective potential on the radial coordinate for the different values of the 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 the monopole moment of the NUT object. In addition, we obtain exact analytical solutions of the Maxwell equations for magnetized and charged cylindrical NUT stars.