Kavli Affiliate: Xian Chen
| First 5 Authors: Liang-Gui Zhu, Hui-Min Fan, Xian Chen, Yi-Ming Hu, Jian-dong Zhang
| Summary:
Extreme-mass ratio inspirals (EMRIs) could be detected by space-borne
gravitational-wave (GW) detectors, such as the Laser Interferometer Space
Antenna (LISA), TianQin and Taiji. In general, locating EMRIs by space-borne GW
detectors can help us select the candidate host galaxies which can be used to
infer the cosmic expansion history. In this paper, we show that the
localization information of EMRIs can also be used to select the candidate host
AGNs which can be used to infer the formation channel of the EMRIs and extract
more precisely the redshift probability distributions of the EMRIs. Using the
EMRIs that are expected to be detected by TianQin and LISA and the galaxy
catalog that can be provided by the Chinese Space Station Telescope for the
analysis, we find that TianQin can constrain the Hubble-Lema^itre constant
$H_0$ to a precision of about $3%-8%$ and the dark energy equation of state
parameter $w_0$ to about $10%-40%$, the network composed of TianQin and LISA
can improve the precisions of $H_0$ and $w_0$ to about $0.4% – 7%$ and
$4%-20%$, respectively, without considering the effects of AGNs. Furthermore,
combining the detected EMRIs with AGN catalog by the statistical framework of
likelihood-ratio-based, we find TianQin can establish the EMRI-AGN correlation
with about $500$ EMRIs if all of the EMRIs indeed originate in AGNs, and the
TianQin+LISA network can reduce this required number to about $30$. Once the
EMRI-AGN correlation is confirmed, the combination of the EMRIs and AGN catalog
can significantly improve the constraints on the cosmological parameters. These
results demonstrate the potentials of using EMRIs as well as galaxy and AGN
catalogs to constrain the cosmological parameters and astrophysical models.
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