F-Mode Universal Relation of Dark Matter Admixed Quarkyonic Stars
摘要
We carry out a comprehensive analysis of f-mode oscillations ( \(\ell = 2\) ) in quarkyonic neutron stars with dark matter (DM), using the Cowling approximation in linearized general relativity. The macroscopic properties, such as mass, radius, and moment of inertia, are calculated through the relativistic mean-field formalism. Our analysis highlights significant changes in f-mode frequencies caused by DM in the quarkyonic equation of state. We examine the sensitivity of these oscillations to key parameters, including the QCD confinement scale, transition density, and DM Fermi momentum. Despite these modifications, several universal relations are found to persist.