Gravitational wave asteroseismology of dark matter hadronic stars

The influence of the dark matter mass (M_χ) and the Fermi momentum (k_F^DM) on the f₀-mode oscillation frequency, damping time parameter, and tidal deformability of hadronic stars are studied by employing a numerical integration of hydrostatic equilibrium, nonradial oscillation, and tidal deformability equations. The matter inside the hadronic stars follows the NL3* equation of state. We obtain that the influence of M_χ and k_F^DM is observed in the f₀-mode, damping tome parameter, and tidal deformability. Finally, the correlation between the tidal deformability of the GW170817 event with M_χ and k_F^DM are also investigated.