The Influence of Magnetic Field Geometry in Neutron Stars Crustal Oscillations

TL;DR

This paper investigates how combined dipolar and toroidal magnetic fields affect neutron star crust oscillations, comparing theoretical frequencies with observations from Soft Gamma Repeaters.

Contribution

It introduces a model considering both magnetic field components and analyzes their impact on crust oscillation frequencies.

Findings

Magnetic field geometry significantly influences oscillation frequencies.

Theoretical frequencies show good agreement with observed SGR signals.

Toroidal fields confined inside the star alter the crust oscillation spectrum.

Abstract

In this work, we have studied oscillations in the crust of a neutron star which magnetic field has both dipolar and toroidal components, the former extends from the stellar interior to the outer space and the later is confined inside the star radius. Our study is based on the solutions we have got for perturbations in the star fluid, confined to the crust thickness. Our results are compared to the frequencies observed in the Soft Gamma Repeaters signals.