Stationary Electromagnetic Fields of a Slowly Rotating Magnetized Neutron Star in General Relativity

TL;DR

This paper derives analytic solutions for the electromagnetic fields of a slowly rotating, magnetized neutron star in general relativity, considering both interior and exterior dipolar magnetic fields, highlighting relativistic modifications.

Contribution

It extends previous models by including a dipolar interior magnetic field with the same radial dependence as the exterior, within a formalism for slowly rotating neutron stars.

Findings

Electromagnetic fields are modified by relativistic effects from gravitational monopole and dipole components.

The interior magnetic field is modeled as dipolar with the same radial dependence as the exterior.

Results differ from prior work by considering a dipolar interior magnetic field, illustrating the formalism's application.

Abstract

Following the general formalism presented by Rezzolla, Ahmedov and Miller (MNRAS, 322, 723 2001), we here derive analytic solutions of the electromagnetic fields equations in the internal and external background spacetime of a slowly rotating highly conducting magnetized neutron star. The star is assumed to be isolated and in vacuum, with a dipolar magnetic field not aligned with the axis of rotation. Our results indicate that the electromagnetic fields of a slowly rotating neutron star are modified by general relativistic effects arising from both the monopolar and the dipolar parts of the gravitational field. The results presented here differ from the ones discussed by Rezzolla, Ahmedov and Miller (MNRAS, 322, 723 2001) mainly in that we here consider the interior magnetic field to be dipolar with the same radial dependence as the external one. While this assumption might not be a realistic one, it should be seen as the application of our formalism to a case often discussed in the literature.