Strong Magnetic field effects on Neutron Stars within $f(T)$ theory of gravity

TL;DR

This study explores how strong magnetic fields influence neutron star structures within $f(T)$ gravity, revealing that quadratic and cubic corrections can significantly increase neutron star masses, aligning with observational data.

Contribution

It introduces a perturbative approach to analyze neutron stars in $f(T)$ gravity under strong magnetic fields, highlighting the impact of quadratic and cubic torsion corrections on star mass and structure.

Findings

Neutron star mass increases with quadratic and cubic $f(T)$ corrections.

Strong magnetic fields significantly affect dense matter properties.

Results are consistent with observational data on neutron star masses.

Abstract

We investigate in this paper the structures of neutron stars under the strong magnetic field in the framework of $f(T)$ gravity where $T$ denotes the scalar torsion. The TOV equations in this theory of gravity have been considered and numerical resolution of these equations has been performed within perturbative approach taking into account the equation of state of neutron dense matter in magnetic field. We simplify the problem by considering the very strong magnetic field which affects considerably the dense matter; and for quadratic and cubic corrections to Teleparallel term, one finds that the mass of neutron stars can increase for different values of the perturbation parameter. The deviation from Teleparallel for different values of magnetic field is found out and this feature is very appreciable in the case of cubic correction. Our results are related to the hadronic particles description with very small hyperon contributions and the mass-radius evolution is consistency with the observational data.