  Fuzzy dark matter (FDM), a practical alternative to cold dark matter, can
exist in compact stars. Here, applying the FDM equation of state (EoS)
constrained by CMB and large-scale structure data, we calculate the structure
of relativistic stars in the presence of FDM. For this aim, the EoS for the
visible matter in neutron stars, quark stars, and hybrid stars from the
observational data are employed. A piecewise polytropic EoS constrained by the
observational data of GW170817 and the data of six low-mass X-ray binaries with
thermonuclear burst or the symmetry energy of the nuclear interaction describes
the neutron star matter. For quark star matter, we apply the EoSs within the
Bayesian statistical approach using the mass and radius measurements of PSR
J0030+0451 from NICER. Employing the two-fluid formalism, we study the
structure of FDM admixed relativistic stars.
