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In this work we apply relativistic mean-field theory in neutron starsassuming that fermionic dark matter is trapped inside the star and interactsdirectly with neutrons by exchanging Standard Model Higgs bosons. For realisticvalues of the parameters of the model we compute numerically the equation ofstate, and we compare it to the standard one. Furthermore, the mass-to-radiusrelation for both equations of state (pure neutron matter as well as admixedDM-neutron star) is shown, and the highest star mass for both cases isreported.

The dark matter effect on realistic equation of state in neutron stars