# Magnetic Field of a Compact Spherical Star under f(R,T) Gravity

## TL;DR

This paper investigates the magnetic field profiles of magnetized compact stars within $f(R,T)$ gravity, revealing how modified gravity influences neutron star magnetic fields and their stability properties.

## Contribution

It provides new interior solutions for magnetized fluid spheres in $f(R,T)$ gravity and explores their observational implications for neutron stars.

## Key findings

- $f(R,T)$ gravity alters magnetic field profiles in neutron stars.
- Models match observational data of highly magnetized neutron stars.
- Analysis of stable orbits around magnetized compact objects.

## Abstract

We present the interior solutions of distributions of magnetised fluid inside a sphere in $f(R,T)$ gravity. The magnetised sphere is embedded in an exterior Reissner-Nordstr\"{o}m metric. We assume that all physical quantities are in static equilibrium. The perfect fluid matter is studied under a particular form of the Lagrangian density $f(R,T)$. The magnetic field profile in modified gravity is calculated. Observational data of neutron stars are used to plot suitable models of magnetised compact objects. We reveal the effect of $f(R,T)$ gravity on the magnetic field profile, with application to neutron stars, especially highly magnetized neutron stars found in X-ray pulsar systems. Finally the effective potential $V_{\rm eff}$ and innermost stable circular orbits, arising out of motion of a test particle of negligible mass influenced by attraction or repulsion from the massive center, are discussed.