Magnetars as Highly Magnetized Quark Stars: an analytical treatment

TL;DR

This paper develops an analytical model of magnetars as highly magnetized quark stars, deriving a mass-radius relation considering strong magnetic fields and comparing results with observational data.

Contribution

It introduces an analytical approach to modeling magnetars as magnetized quark stars, incorporating magnetic field effects into the equation of state.

Findings

Derived an analytical mass-radius relationship for magnetized quark stars.

Compared model predictions with observational data of potential quark/hybrid stars.

Highlighted the influence of magnetic fields exceeding 5 x 10^{16} G on stellar structure.

Abstract

We present an analytical model of a magnetar as a high density magnetized quark bag. The effect of strong magnetic fields (B > 5 x 10^{16} G) in the equation of state is considered. An analytic expression for the Mass-Radius relationship is found from the energy variational principle in general relativity. Our results are compared with observational evidences of possible quark and/or hybrid stars.