f-mode oscillations of dark matter admixed quarkyonic neutron star
Abstract
We systematically investigate f-mode oscillations ( = 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.
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