Magnetic fields in anisotropic relativistic stars

TL;DR

This paper investigates static, spherically symmetric relativistic stars with anisotropic fluids and magnetic fields, revealing how anisotropy influences magnetic field structure and star shape deviations from perfect sphericity.

Contribution

It provides new equilibrium solutions for magnetized anisotropic relativistic stars, highlighting the impact of anisotropy on magnetic field configuration and star shape.

Findings

Magnetic fields cause small shape deviations from spherical symmetry.

Anisotropy modifies the internal magnetic field structure.

Differences observed compared to isotropic fluid models.

Abstract

Relativistic, spherically symmetric configurations consisting of a gravitating magnetized anisotropic fluid are studied. For such configurations, we obtain static equilibrium solutions with an axisymmetric, poloidal magnetic field produced by toroidal electric currents. The presence of such a field results in small deviations of the shape of the configuration from spherical symmetry. This in turn leads to the modification of an equation for the current and correspondingly to changes in the structure of the internal magnetic field for the systems supported by the anisotropic fluid, in contrast to the case of an isotropic fluid, where such deviations do not affect the magnetic field.