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 $\sigma$, $\omega$ and $\rho$ mesons. Then, we study the linear, static $l=2$ perturbation on the star to compute the electric-type Love number following Hinderer's prescription.

Accepted for publication in Physical Review D

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• Relativistic theory of tidal Love numbers
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• Tidal deformability with sharp phase transitions in (binary) neutron stars
• Interpreting Binary Neutron Star Mergers: Describing the Binary Neutron Star Dynamics, Modelling Gravitational Waveforms, and Analyzing Detections
• Equation-of-state insensitive relations after GW170817
• Tidal Deformability of Dark Matter Admixed Neutron Stars
• Tidal Love Numbers of Black Holes and Neutron Stars in the Presence of Higher Dimensions: Implications of GW170817
• Rotating dark matter admixed neutron stars
• Relativistic finite temperature multifluid hydrodynamics in a neutron star from a variational principle
• Gravitational decoupling and superfluid stars
• Constraining neutron star properties with a new equation of state insensitive approach
• The I-Love-Q Relations for Superfluid Neutron Stars
• Probing horizon scale quantum effects with Love
• Rotating Love: The dynamical tides of spinning Newtonian stars
• Effect of superfluid matter of neutron star on the tidal deformability
• Probing Fundamental Physics with Gravitational Waves
• Review on the matching conditions for the tidal problem: towards the application to more general contexts