# Gravitational wave background from neutron star phase transition for a new class of equation of state

## TL;DR

This paper investigates the stochastic gravitational wave background generated by neutron stars undergoing a hadron-quark phase transition, assessing its detectability with advanced LIGO in the context of a new equation of state.

## Contribution

It introduces a novel model of neutron star phase transition effects on gravitational wave background using a new class of equation of state.

## Key findings

- Maximum GW background amplitude of ~10^{-24} in the 20-2000 Hz band
- Potential detectability with advanced LIGO observatories
- Neutron star formation at redshifts up to z ≈ 20

## Abstract

We study the generation of a stochastic gravitational wave (GW) background produced by a population of neutron stars (NSs) which go over a hadron-quark phase transition in its inner shells. We obtain, for example, that the NS phase transition, in cold dark matter scenarios, could generate a stochastic GW background with a maximum amplitude of $h_{\rm BG} \sim 10^{-24}$, in the frequency band $\simeq 20-2000 {\rm Hz}$ for stars forming at redshifts of up to $z\simeq 20.$ We study the possibility of detection of this isotropic GW background by correlating signals of a pair of `advanced' LIGO observatories.