Role of the crust on the tidal deformability of a neutron star within a unified treatment of dense matter

Abstract

The role of the crust on the tidal deformability of a cold nonaccreted neutron star is studied using the recent unified equation of state BSk24. This equation of state, which is based on the nuclear-energy density functional theory, provides a thermodynamically consistent description of all stellar regions. Results obtained with this equation of state are compared to those calculated for a putative neutron star made entirely of homogeneous matter. The presence of the crustal layers is thus found to significantly reduce the Love number $k_2$, especially for low-mass stars. However, this reduction mainly arises from the increase in the stellar radius almost independently of the equation of state. This allows for a simple analytic estimate of $k_2$ for realistic neutron stars using the equation of state of homogeneous matter only.

23 pages, 12 figures

References in corpus (7)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Tidal Love numbers of neutron stars
• Inner crust of neutron stars with mass-fitted Skyrme functionals
• Impact of the neutron star crust on the tidal polarizability
• Unified equations of state for cold non-accreting neutron stars with Brussels-Montreal functionals. II. Pasta phases in semi-classical approximation
• Role of the symmetry energy and the neutron-matter stiffness on the tidal deformability of a neutron star with unified equations of state
• Effects of nuclear symmetry energy and equation of state on neutron star properties

Cited by in corpus (14)

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• Tidal Love Numbers of Novel and Admixed Celestial Objects
• Dark Matter Effects on the Compact Star Properties
• Impact of the neutron-star deformability on equation of state parameters
• Systematic analysis of inner crust composition using the extended Thomas-Fermi approximation with pairing correlations
• SU(3) parity doubling in cold neutron star matter
• Role of dense matter in tidal deformations of inspiralling neutron stars and in gravitational waveform with unified equations of state
• Crust-core interface and bulk neutron star properties
• Accreting neutron stars from the nuclear energy-density functional theory. II. Equation of state and global properties
• Structure and tidal deformability of a hybrid star within the framework of the field correlator method
• Superfluid neutron matter with a twist
• New Skyrme parametrizations to describe finite nuclei and neutron star matter with realistic effective masses
• Limitations in constraining neutron star radii and nuclear properties from inspiral gravitational wave detections