Deformation of relativistic magnetized stars

TL;DR

This paper investigates how magnetic fields deform relativistic stars, calculating ellipticity for dipole magnetic fields and showing it increases with relativistic effects, providing insights into stellar shape distortions.

Contribution

It introduces a perturbative method to analyze magnetic deformation in relativistic stars and computes ellipticity for dipole magnetic fields across different stellar models.

Findings

Ellipticity increases with relativistic factor.

Deformation depends on magnetic to gravitational energy ratio.

Relativistic effects significantly influence star shape distortions.

Abstract

We formulate deformation of relativistic stars due to the magnetic stress, considering the magnetic fields to be perturbations from spherical stars. The ellipticity for the dipole magnetic field is calculated for some stellar models. We have found that the ellipticity becomes large with increase of a relativistic factor for the models with the same energy ratio of the magnetic energy to the gravitational energy.