$f$-mode oscillations of dark matter admixed quarkyonic neutron star

TL;DR

This study explores how dark matter influences the fundamental oscillation modes of quarkyonic neutron stars, revealing significant effects on frequencies while maintaining universal relations.

Contribution

It introduces a systematic analysis of $f$-mode oscillations in dark matter admixed quarkyonic neutron stars using the Cowling approximation and relativistic mean-field theory.

Findings

Dark matter alters $f$-mode frequencies significantly.

Universal relations among oscillation properties remain robust.

Key parameters like transition density and dark matter Fermi momentum impact oscillation characteristics.

Abstract

We systematically investigate $f-$mode oscillations ($\ell$ = 2) in quarkyonic neutron stars with dark matter, employing the Cowling approximation within the framework of linearized general relativity. The relativistic mean-field approach is used to compute various macroscopic properties of neutron stars. The analysis focuses on three key free parameters in the model: transition density, QCD confinement scale, and dark matter (DM) Fermi momentum, all of which significantly affect the properties of $f-$mode oscillations. The inclusion of dark matter in quarkyonic equations of state leads to notable variations in $f-$mode frequencies. Despite these changes, several universal relations among the oscillation properties are found to hold, demonstrating their robustness in the presence of dark matter.