# Roles of crust and core in the tidal deformability of neutron stars

## TL;DR

This paper investigates how the crust and core of neutron stars influence their tidal deformability, highlighting that the crust's contribution is minor and emphasizing the importance of tidal deformability measurements in constraining dense matter equations of state.

## Contribution

It provides a detailed analysis of the crust's role in neutron star tidal deformability across various equations of state, clarifying its limited impact.

## Key findings

- Crust contributions to tidal deformability are generally small.
- Tidal deformability measurements are crucial for constraining dense matter equations of state.
- The core's properties dominate the neutron star's tidal response.

## Abstract

With the recent measurement of GW170817 providing constraints on the tidal deformability of a neutron star, it is very important to understand what features of the equation of state have the biggest effect on it. We therefore study the contribution of the crust to the tidal deformability and the moment of inertia of a neutron star for a variety of well-known equations of state. It is found that the contributions to these quantities from the low density crust are typically quite small and as a result the determination of the tidal deformability provides an important constraint on the equation of state of dense matter.