# Effect of rotation and magnetic field in the gyroscopic precession around a neutron star

## TL;DR

This paper investigates how the rotation and magnetic field configurations of neutron stars influence the precession frequency of a test gyroscope, revealing dependencies on mass, spin, and magnetic topology in strong gravity regimes.

## Contribution

It introduces a numerical analysis of gyroscopic precession around neutron stars considering different magnetic field geometries, extending previous models to include internal magnetic effects.

## Key findings

- Precession frequency varies with magnetic field configuration.
- Precession depends on neutron star's mass and rotation rate.
- Calculations can be performed inside the neutron star.

## Abstract

We study the overall spin precession frequency of a test gyroscope around a neutron star. The precession of the test gyroscope gives the signatures of the general relativistic effects that are present in the region of strong gravity of an NS. Using a numerical code, we find the precession of the test gyroscope for a rotating and a strongly magnetized neutron star. The magnetic field distribution inside the neutron star is assumed either to be poloidal or toroidal. The overall spin precession rate is obtained by setting the orbital frequency of the gyroscope to a non-zero value but restricted to a time-like observer. The gyro frequency differs depending on the central object being a black hole or a neutron star. For neutron star, the gyro precession can even be calculated inside the star. We find that the gyroscope precession frequency depends on the stars mass, rotation rate, and magnetic field configuration.