# High-frequency continuous gravitational waves searched in LIGO O3 public data with Einstein@Home

## TL;DR

This paper reports the most sensitive search to date for high-frequency continuous gravitational waves in LIGO O3 data using Einstein@Home, setting upper limits on gravitational wave amplitude, neutron star ellipticity, and r-mode amplitude.

## Contribution

It introduces a highly sensitive search method for high-frequency gravitational waves in LIGO O3 data utilizing volunteer computing, and provides new upper limits on neutron star properties.

## Key findings

- No detection of gravitational waves was made.
- Set upper limits on gravitational wave amplitude at 800 Hz: 1.32×10⁻²⁵.
- Excluded neutron stars with ellipticity ≥ 1.96×10⁻⁸ within 100 pc.

## Abstract

We search for nearly-monochromatic gravitational wave signals with frequencies $800.0~\textrm{Hz} \leq f \leq 1686.0~\textrm{Hz}$ and spin-down $-2.7\times10^{-9}~\textrm{Hz}\,\textrm{s}^{-1} \leq \dot f \leq 0.2\times 10^{-9}~\textrm{Hz}\,\textrm{s}^{-1}$. We use LIGO O3 public data from the Hanford and Livingston detectors and deploy this search on the Einstein@Home volunteer-computing project. This is the most sensitive search carried out to date in this parameter space. Our results are consistent with a non-detection. We set upper limits on the gravitational wave amplitude $h_{0}$ and translate these to upper limits on neutron star ellipticity and on r-mode amplitude. The most stringent upper limits are at $800~\textrm{Hz}$ with $h_{0} = 1.32\times10^{-25}$, at the $90\%$ confidence level. Searching in the high frequency bands allows us to probe astrophysically interesting ellipticities with our results excluding isolated neutron stars rotating faster than $2.5~\textrm{ms}$ with ellipticities $\epsilon \geq 1.96 \times 10^{-8}\left[\frac{d}{100~\textrm{pc}}\right]$ within a distance $d$ from Earth. Our results also exclude r-mode amplitudes $\alpha \geq 7 \times 10^{-7}\left[\frac{d}{100~\textrm{pc}}\right]$ for neutron stars stars spinning faster than 400 Hz.