Blind-search constraints on the sub-kiloparsec population of continuous gravitational-wave sources

Abstract

We use the latest all-sky continuous gravitational-wave (CW) searches to estimate constraints on the sub-kiloparsec population of unknown neutron stars (NS). We then extend this analysis to the forthcoming LIGO-Virgo-KAGRA observing runs and the third generation (3G) of ground-based interferometric detectors (Einstein Telescope and Cosmic Explorer). We find that sources with ellipticities greater than $\hat{I}\mu \gtrsim 10^{-7}$ can be well-constrained by current and future detectors regardless of their frequency. 3G detectors will extend these constraints down to $\hat{I}\mu \gtrsim 10^{-8}$ across the whole sensitive band and $\hat{I}\mu \gtrsim 10^{-9}$ above $1\text{kHz}$. We do not expect $\hat{I}\mu \lesssim 10^{-8}$ sources to be constrained below $1\text{kHz}$. Finally, we discuss the potential impact of using astronomical priors on all-sky searches in terms of sensitivity and computing cost. The populations here described can be used as a guide to set up future all-sky CW searches.

11 pages, 7 figures, comments welcome