Investigating the correlations of bulk properties of hyperon star with dark matter

The strong gravitational pull of the neutron star leads to the accretion of dark matter (DM) inside the core of the neutron star. The accretion of DM affects the bulk properties of the neutron star. Here, we study how the accretion of Weakly Interacting Massive Particles (WIMP) dark matter particles affects the [Formula: see text]-admixed hyperon star’s bulk properties specifically mass, radius, tidal deformability, f-mode frequency and moment of inertia. The inclusion of dark matter softens the equation of state (EOS) and reduces the maximum possible mass, canonical radius, canonical tidal deformability, and moment of inertia of canonical star. However, the f-mode frequency of the canonical star increases. We find a cubical correlation between the dark matter fermi momenta [Formula: see text] and bulk properties of canonical star.