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arXiv · 2207.01977

Measurement of the central Galactic black hole by extremely large mass-ratio inspirals

Shu-Cheng Yang·Huijiao Luo·Yuan-Hao Zhang·Chen Zhang
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Abstract

In the Galaxy, extremely large mass-ratio inspirals(X-MRIs) composed of brown dwarfs and the massive black hole at the Galactic Center are expected to be promising gravitational wave sources for space-borne detectors. In this work, we simulate the gravitational wave signals from twenty X-MRI systems by an axisymmetric Konoplya-Rezzolla-Zhidenko metric with varied parameters. We find that the mass, spin, and deviation parameters of the Kerr black hole could be determined accurately ( $\sim 10^{-5} - 10^{-6}$ ) with only one X-MRI event with a high signal-to-noise ratio. The measurement of the above parameters could be improved with more X-MRI observations.

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Shu-Cheng Yang, Huijiao Luo, Yuan-Hao Zhang, Chen Zhang. 2022-07-05. Measurement of the central Galactic black hole by extremely large mass-ratio inspirals. https://doi.org/10.3390/sym14122558

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