K. Wang, M. Le Delliou
Abstract
The Schrödinger-Poisson (SP) equations predict fuzzy dark matter (FDM) solitons. Given the FDM mass ∼10−20 eV/c2, the FDM soliton in the Milky Way is massive ∼107M⊙ but diffuse ∼10 pc. Therefore, such FDM soliton can serve as a gravitational lens for gravitational waves (GWs) with frequency ∼10-8 Hz. In this paper, we investigate its gravitational lensing effects by numerical simulation of the propagation of GWs through it. We find that the maximum magnification factor of GWs is very small ∼10-4, but the corresponding magnification zone is huge ∼6 pc for FDM with mass equal to 8×10−21 eV/c2. Consequently, this small magnification factor compounding over such large magnification zone results in a small antisotropy of ∼10-4 over a large solid angle in the GW background. That level of anisotropy is out of the sensitivity, <20%, of the pulsar timing arrays today.
Keywords
Astrophysics and astroparticle physics
Physical Review D
Volume 113, Issue 043029, Page 10
2026 February
