External Electromagnetic Fields of a Slowly Rotating Magnetized Star with Gravitomagnetic Charge
Bobomurat J. Ahmedov, Avas V. Khugaev, and Ahmadjon A. Abdujabbarov

TL;DR
This paper derives analytical solutions for the external electric fields of a slowly rotating magnetized star with gravitomagnetic charge, highlighting the influence of NUT charge on electromagnetic fields in vacuum.
Contribution
It provides the first analytical solutions for electric fields around a NUT star considering slow rotation and magnetic dipole alignment.
Findings
NUT charge affects external electric fields significantly.
Analytical solutions are obtained in the lowest order approximation.
The magnetic dipole is aligned with the rotation axis.
Abstract
We study Maxwell equations in the external background spacetime of a slowly rotating magnetized NUT star and find analytical solutions for the exterior electric fields after separating the equations of electric field into angular and radial parts in the lowest order approximation. The star is considered isolated and in vacuum, with dipolar magnetic field aligned with the axis of rotation. The contribution to the external electric field of star from the NUT charge is considered in detail.
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