# Follow-up procedure for gravitational wave searches from isolated neutron stars using the time-domain $\mathcal{F}$-statistic method

## TL;DR

This paper introduces a follow-up procedure using the time-domain $ ext{F}$-statistic for detecting gravitational waves from rotating neutron stars, improving analysis in all-sky searches with LIGO and Virgo data.

## Contribution

The paper presents a new follow-up method based on matched-filtering $ ext{F}$-statistic, integrated into the existing pipeline for gravitational wave searches from neutron stars.

## Key findings

- The follow-up procedure shows good agreement with theoretical predictions.
- Tests with artificial signals demonstrate the method's effectiveness.
- The method will be incorporated into routine all-sky search pipelines.

## Abstract

Among promising sources of gravitational waves are long-lived nearly periodic signals produced by rotating, asymmetric neutron stars. Depending on the astrophysical scenario, the sources of asymmetry may have thermal, viscous, elastic and/or magnetic origin. In this work we introduce a follow-up procedure for an all-sky search for gravitational wave signals from rotating neutron stars. The procedure denoted as Followup implements matched-filtering $\mathcal{F}$-statistic method. We describe data analysis methods and algorithms used in the procedure. We present tests of the Followup for artificial signals added to white, Gaussian noise. The tests show a good agreement with the theoretical predictions. The Followup will become part of the Time-Domain $\mathcal{F}$-statistic pipeline that is routinely used for all-sky searches of LIGO and Virgo detector data.