Relativistic tidal properties of superfluid neutron stars

Abstract

We investigate the tidal deformability of a superfluid neutron star. We calculate the equilibrium structure in the general relativistic two-fluid formalism with entrainment effect where we take neutron superfluid as one fluid and the other fluid is comprised of protons and electrons, making it a charge neutral fluid. We use a relativistic mean field model for the equation of state of matter where the interaction between baryons is mediated by the exchange σ, ω and mesons. Then, we study the linear, static l=2 perturbation on the star to compute the electric-type Love number following Hinderer's prescription.

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