# Consistent relativistic mean field models constrained by GW170817

## TL;DR

This paper evaluates relativistic mean-field models constrained by nuclear physics data against gravitational wave observations from GW170817, showing good agreement and confirming correlations between neutron star properties.

## Contribution

It provides the first comprehensive analysis of Love numbers and tidal deformabilities for CRMF models constrained by nuclear matter data, tested against GW170817 observations.

## Key findings

- CRMF models agree well with GW170817 data
- Strong correlation between $ ext{Lambda}_{1.4}$ and $R_{1.4}$
- Most models satisfy GW170817 constraints

## Abstract

We have obtained the Love number and corresponding tidal deformabilites ($\Lambda$) associated with the relativistic mean-field parametrizations shown to be consistent (CRMF) with the nuclear matter, pure neutron matter, symmetry energy and its derivatives [Dutra, et al., Phys. Rev. C 90, 055203 (2014)]. Our results show that CRMF models present very good agreement with the recent data from binary neutron star merger event GW170817. They also confirm the strong correlation between $\Lambda_{1.4}$ and the radius of canonical stars ($R_{1.4}$). When a recently GW170817 constraint on $\Lambda_{1.4}$ and the corresponding radius $R_{1.4}$ is used, the majority of the models tested are shown to satisfy it.