On Magnetized Neutron Stars

TL;DR

This paper reviews the effects of density-dependent magnetic fields on neutron and quark stars, clarifies ambiguities in the formalism, and proposes a new approach using a variable magnetic field based on energy density.

Contribution

It introduces a novel formalism for magnetic stress tensor and a parameter-free model with magnetic fields depending on energy density.

Findings

Clarified ambiguities in magnetic field effects

Developed a new stress tensor formalism

Proposed a model with energy density-dependent magnetic fields

Abstract

In this work we review the formalism normally used in the literature about the effects of density-dependent magnetic fields on the properties of neutron and quark stars, expose some ambiguities that arise and propose a way to solve the related problem. Our approach explores more deeply the concept of pressure, yielding the so called chaotic magnetic field formalism for the stress tensor. We also use a different way of introducing a variable magnetic field, which depends on the energy density rather than on the baryonic density, which allows us to build a parameter free model.