Continuous gravitational waves from Galactic neutron stars: demography, detectability and prospects

We study the prospects for detection of continuous gravitational signals from "normal" Galactic neutron stars. We use a synthetic population generated by evolving stellar remnants in time, according to several models. We also briefly treat the case of recycled neutron stars. We consider the most recent constraints set by all-sky searches for continuous gravitational waves and use them for our detectability criteria. We discuss detection prospects for the current and the next generation of gravitational wave detectors. We find that neutron stars whose ellipticity is solely caused by magnetic deformations cannot produce any detectable signal, not even by 3rd-generation detectors. Currently detectable sources all have $B<10^{12}$G and show a strong correlation between magnetic field and ellipticity: the larger the magnetic field, the larger the ellipticity. According to our models, 3rd-generation detectors as the Einstein Telescope and Cosmic Explorer will be able to detect up to $\approx$ 250 more sources than the current detectors. Continuous waves from recycled neutron stars will likely remain elusive to detection by current detectors but should be detectable with the next generation of detectors.