Kavli Affiliate: Ke Wang
| First 5 Authors: Ke Wang, Ke Wang, , ,
| Summary:
The Schr"odinger-Poisson (SP) equations predict fuzzy dark matter (FDM)
solitons. Given the FDM mass $sim10^-20rm~eV/c^2$, the FDM soliton in the
Milky Way is massive $sim 10^7~M_odot$ but diffuse $sim 10rm~pc$.
Therefore, this FDM soliton can serve as a gravitational lens for gravitational
waves (GWs) with frequency $sim10^-8rm~Hz$. 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 $sim10^-4$, but the corresponding magnification zone is huge
$sim6rm~pc$ for FDM with mass equal to $8^-21rm~eV/c^2$. Consequently,
this small magnification factor in that large magnification zone means a small
antisotropy of $sim10^-4$ over a large solid angle in the GW background,
even though this antisotropy is out of the sensitivity of the pulsar timing
arrays today.
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