Relativistic models of magnetars: Nonperturbative analytical approach

TL;DR

This paper develops a nonperturbative analytical method to model magnetars within general relativity, providing exact solutions for their interior structure and magnetic field effects.

Contribution

It introduces a new method for generating exact interior solutions to Einstein-Maxwell-hydrodynamic equations for magnetars with anisotropic fluids and poloidal magnetic fields.

Findings

Derived explicit exact solutions for magnetar models.

Calculated surface ellipticity and total energy of magnetized stars.

Provided a simple, physically consistent magnetar model.

Abstract

In the present paper we focus on building simple nonperturbative analytical relativistic models of magnetars. With this purpose in mind we first develop a method for generating exact interior solutions to the static and axisymmetric Einstein-Maxwell-hydrodynamic equations with anisotropic perfect fluid and with pure poloidal magnetic field. Then using an explicit exact solution we present a simple magnetar model and calculate some physically interesting quantities as the surface elipticity and the total energy of the magnetized star.