Strong magnetic field effects on neutron stars within f(T) theory of gravity

Abstract

We investigate in this paper the structures of neutron stars under a 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 the numerical resolution of these equations has been performed within the 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 considerably affects the dense matter; and for quadratic and cubic corrections to the teleparallel term, one finds that the mass of neutron stars can increase for different values of the perturbation parameter. The deviation from the teleparallel term 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 consistent with the observational data.