# Gravitational waves from phase transition of NS to QS

## TL;DR

This paper models the gravitational wave signals generated by a phase transition from a neutron star to a hybrid star, revealing unique signatures that could help identify such events.

## Contribution

It presents the first 2D simulation of neutron star to hybrid star conversion and analyzes the resulting gravitational wave signals.

## Key findings

- GW strain amplitude of 10^{-22} detected
- Signals last for tens of microseconds
- Distinct spectral peaks at high frequencies

## Abstract

In this article, we perform a 2-d simulation of combustion of neutron star (NS) to hybrid star (HS). We assume that a sudden density fluctuation at the center of the NS initiates a shock discontinuity near the center of the star. This shock discontinuity deconfines NM to 2-f QM, initiating combustion of the star. This combustion front propagates from the center to the surface converting NM to 2-f QM. This combustion stops at a radius of $6 km$ inside the star, as at this density the NM is much stable than QM. Beyond $6 km$ although the combustion stops but the shock wave propagates to the surface. We study the gravitational wave signal for such a PT of NS to HS. We find that such PT has unique GW strain of amplitude $10^{-22}$. These signals last for few tens of $\mu s$ and shows small oscillating behaviour. The power spectrum consists of peaks and at fairly high frequency range. The conversion to NS to HS has a unique signature which would help in defining the PT and the fate of the NS.