Probing planetary-mass primordial black holes with continuous gravitational waves

TL;DR

This paper explores the potential of gravitational wave detectors to identify planetary-mass primordial black holes by adapting search methods for continuous signals, providing forecasts for constraints on their abundance in our galaxy.

Contribution

It introduces adapted gravitational wave search techniques for planetary-mass primordial black holes and forecasts their sensitivity and constraints on dark matter fraction.

Findings

Current detectors can constrain primordial black hole dark matter fraction to about 1.

Einstein Telescope could improve constraints to 1% for certain mass ranges.

Methods are effective for detecting inspiraling primordial black holes in our galaxy.

Abstract

Gravitational waves can probe the existence of planetary-mass primordial black holes. Considering a mass range of $[10^{-7}-10^{-2}]M_\odot$, inspiraling primordial black holes could emit either continuous gravitational waves, quasi-monochromatic signals that last for many years, or transient continuous waves, signals whose frequency evolution follows a power law and last for $\mathcal{O}$(hours-months). We show that primordial black hole binaries in our galaxy may produce detectable gravitational waves for different mass functions and formation mechanisms. In order to detect these inspirals, we adapt methods originally designed to search for gravitational waves from asymmetrically rotating neutron stars. The first method, the Frequency-Hough, exploits the continuous, quasi-monochromatic nature of inspiraling black holes that are sufficiently light and far apart such that their orbital frequencies can be approximated as linear with a small spin-up. The second method, the Generalized Frequency-Hough, drops the assumption of linearity and allows the signal frequency to follow a power-law evolution. We explore the parameter space to which each method is sensitive, derive a theoretical sensitivity estimate, determine optimal search parameters and calculate the computational cost of all-sky and directed searches. We forecast limits on the abundance of primordial black holes within our galaxy, showing that we can constrain the fraction of dark matter that primordial black holes compose, $f_{\rm PBH}$, to be $f_{\rm PBH}\lesssim 1$ for chirp masses between $[4\times 10^{-5}-10^{-3}]M_\odot$ for current detectors. For the Einstein Telescope, we expect the constraints to improve to $f_{\rm PBH}\lesssim 10^{-2}$ for chirp masses between [$10^{-4}-10^{-3}]M_\odot$.