http://arxiv.org/abs/2305.02880
In this work, we study microlensing effects in strongly lensed gravitational wave (GW) signals corresponding to global minima in galaxy-scale lenses. We find that stellar microlenses alone are unable to introduce noticeable wave effects in the global minima GW signals at strong lensing magnification $(\mu)<50$ with match value between unlensed and lensed GW signals being above ${\sim}99.5\%$ in ${\sim}90\%$ of systems. Since the stellar microlenses introduce negligible wave effects in global minima, they can be used to probe the intermediate-mass black hole (IMBH) lenses in the galaxy lens. We show that the presence of an IMBH lens with mass in the range $[50,10^3]~{\rm M_\odot}$ such that the global minima lies within five Einstein radius of it, the microlensing effects at $f<10^2$ Hz are mainly determined by the IMBH lens for $\mu<50$. Assuming that a typical strong lensing magnification of 3.8 and high enough signal-to-noise ratio (in the range $\sim[10, 30]$) to detect the microlensing effect in GW signals corresponding to global minima, with non-detection of microlensing effects in ${\sim}15 ({\sim}150)$ lensed GW signals, we can rule out dark matter fraction $>10\% (>1\%)$ made of IMBH population inside galaxy lenses in mass range $[50, 10^3] {\rm M_\odot}$ with ${\sim}$90\% confidence.
A. Meena
Fri, 5 May 23
13/67
Comments: 8 pages, 5 figures. Comments welcome