Dipole magnetic field of neutron stars in $f(R)$ gravity

TL;DR

This paper investigates how neutron star magnetic fields are affected by $f(R)$ gravity, revealing potential structural differences compared to general relativity through perturbative solutions.

Contribution

It introduces a perturbative method to analyze dipole magnetic fields in neutron stars within $f(R)$ gravity, highlighting differences from general relativity.

Findings

Differences in magnetic field structure between $f(R)$ gravity and GR.

Perturbative solutions for magnetized neutron stars in modified gravity.

Potential observational signatures of modified gravity effects.

Abstract

The structure of an interior dipole magnetic field of neutron stars in $f(R)$ gravity is considered. For this purpose, the perturbative approaches are used when both the deviations from general relativity and the deformations of spherically symmetric configurations associated with the presence of the magnetic field are assumed to be small. Solutions are constructed which describe relativistic, spherically symmetric configurations consisting of a gravitating magnetized perfect fluid modeled by a realistic equation of state. Comparing configurations from general relativity and modified gravity, we reveal possible differences in the structure of the magnetic field which occur in considering neutron stars in modified gravity.