Kavli Affiliate: Ke Wang
| First 5 Authors: Chen Tan, Ke Wang, , ,
| Summary:
Although the constraints on general relativity (GR) from each individual
gravitational-wave (GW) event can be combined to form a cumulative estimate of
the deviations from GR, the ever-increasing number of GW events used also leads
to the ever-increasing computational cost during the parameter estimation.
Therefore, in this paper, we will introduce the deviations from GR into GWs
from all events in advance and then create a modified stochastic
gravitational-wave background (SGWB) to perform tests of GR. More precisely, we
use the $mathtt{pSEOBNRv4HM_PA}$ model to include the model-independent hairs
and calculate the corresponding SGWB with a given merger rate. Then we turn to
the Fisher information matrix to forecast the constraints on the no-hair
theorem from SGWB at frequency $10[{rm Hz}]lesssim flesssim10^4[{rm Hz}]$
detected by the third-generation ground-based GW detectors, such as the Cosmic
Explorer. We find that the forecasting constraints on hairs are
$deltaomega_{220}=0pm0.02$ and $deltatau_{220}=0pm0.04$ at $68%$
confidence range for the parameter space with only two parameters.
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