The dark timbre of gravitational waves

Abstract

Gravitational wave timbre, the relative amplitude and phase of the different frequency harmonics, can change due to interactions with low-mass halos. We focus on binaries in the LISA range and find that the integrated lens effect of cold dark matter structures can be used to probe the existence of $M_{\mathrm{v}}\lesssim 10M_{\odot }$ halos if a single binary with eccentricity $e=0.3-0.6$ is detected with a signal-to-noise ratio $100-10^3$ and it is at $z_s=0.5$.

6 pages, 3 figures, updated to match the published version