# Highly magnetized neutron stars in a many-body forces formalism

## TL;DR

This paper investigates how different magnetic field configurations affect the structure and properties of neutron stars using a relativistic many-body forces model, incorporating magnetic effects self-consistently.

## Contribution

It introduces a self-consistent method to analyze magnetic field effects on neutron stars within a many-body forces formalism, considering realistic magnetic configurations.

## Key findings

- Magnetic fields influence neutron star mass and shape.
- The model reproduces nuclear matter properties at saturation.
- Magnetic effects are significant in neutron star structure.

## Abstract

In this work, we study the effects of different magnetic field configurations in neutron stars described by a many-body forces formalism (MBF model). The MBF model is a relativistic mean field formalism that takes into account many-body forces by means of a meson field dependence of the nuclear interaction coupling constants. We choose the best parametrization of the model that reproduces nuclear matter properties at saturation and also describes massive neutron stars. We assume matter to be in beta-equilibrium, charge neutral and at zero temperature. Magnetic fields are taken into account both in the equation of state and in the structure of the stars by the self-consistent solution of the Einstein-Maxwell equations. We assume a poloidal magnetic field distribution and calculate its effects on neutron stars, showing its influence on the gravitational mass and deformation of the stars.