The effects of strong magnetic fields on the neutron star structure: lowest order constrained variational calculations

TL;DR

This study explores how strong magnetic fields influence neutron star properties, showing that increased magnetic fields and temperature make the star's equation of state stiffer, resulting in larger maximum mass and radius.

Contribution

It introduces a variational approach to analyze magnetic field effects on neutron star structure using the AV18 potential, considering both zero and finite temperatures.

Findings

Magnetic fields stiffen the neutron star equation of state.

Stronger magnetic fields increase maximum mass and radius.

Temperature also contributes to larger star properties.

Abstract

We investigate the effects of strong magnetic fields upon the gross properties of neutron and protoneutron stars. In our calculations, the neutron star matter was approximated by the pure neutron matter. Using the lowest order constrained variational approach at zero and finite temperatures, and employing $AV_{18}$ potential, we present the effects of strong magnetic fields on the gravitational mass, radius, and gravitational redshift of the neutron and protoneutron stars. It is found that the equation of state of neutron star becomes stiffer with increase of the magnetic field and temperature. This leads to larger values of the maximum mass and radius for the neutron stars.