  The properties of a neutron star are studied in the presence of dark matter.
We have considered a relatively light Weakly Interacting Massive Particle
(WIMP) as a dark matter candidate with properties suggested by the results of
the DAMA/LIBRA collaboration, realized for instance within the framework of the
Next-to-Minimal Supersymmetric Standard Model. The dark matter particle
interacts with the baryonic matter of a neutron star through Higgs bosons. The
dark matter variables are essentially fixed using the results of the DAMA/LIBRA
experiment, which are then used to build the Lagrangian density for the
WIMP-nucleon interaction inside a neutron star. We have used the effective
field theory motivated relativistic mean field model to study the
equations-of-state in the presence of dark matter. The predicted
equations-of-state are used in the Tolman-Oppenheimer-Volkoff equations to
obtain the mass-radius relations, the moment of inertia, and effects of the
tidal field on a neutron star. The calculated properties are compared with the
corresponding data of the GW170817 event.
