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In this study, we investigate the impact of Weakly Interacting MassiveParticles (WIMPs) dark matter (DM) on $C-\Lambda$ universal relations, GW170817posterior and radial oscillations of neutron stars (NSs) by considering theinteractions of uniformly trapped neutralinos as a DM candidate with thehadronic matter through the exchange of the Higgs boson within the framework ofthe Next-to-Minimal Supersymmetric Standard Model (NMSSM). The hadronicequation of state (EOS) is modeled using the relativistic mean-field (RMF)formalism with IOPB-I, G3, and QMC-RMF series parameter sets. Presence of DMsoftens the EOS at both the background and the perturbation levels that impliesa small shift to the left in the posterior accompanied by a much larger jump inthe left of the mass-radius curves with increasing DM mass. It is observed thatEOSs with DM also satisfy the $C-\Lambda$ universality relations amongtheir-selves but get slightly shifted to the right in comparison to thatwithout considering DM. Additionally, we find that the inclusion of DM allowsthe mass-radius ($M-R$) curves to remain consistent with observationalconstraints for HESS J1731-347, indicating the possibility of classifying it asa dark matter-admixed neutron star (DMANS). Moreover, we explore the impact ofDM on the radial oscillations of pulsating stars and investigate the stabilityof NSs. The results demonstrate a positive correlation between the mass of DMand the frequencies of radial oscillation modes.

Probing the Impact of WIMP Dark Matter on Universal Relations, GW170817 Posterior and Radial Oscillations