Kavli Affiliate: Lijing Shao
| First 5 Authors: Hai-Tian Wang, Garvin Yim, Xian Chen, Lijing Shao,
| Summary:
After the final stage of the merger of two black holes, the ringdown signal
takes an important role on providing information about the gravitational
dynamics in strong field. We introduce a novel time-domain (TD) approach,
predicated on the $mathcal{F}$-statistic, for ringdown analysis. This method
diverges from traditional TD techniques in that its parameter space remains
constant irrespective of the number of modes incorporated. This feature is
achieved by reconfiguring the likelihood and analytically maximizing over the
extrinsic parameters that encompass the amplitudes and reference phases of all
modes. Consequently, when performing the ringdown analysis under the assumption
that the ringdown signal is detected by the Einstein Telescope, parameter
estimation computation time is shortened by at most five orders of magnitude
compared to the traditional TD method. We further establish that traditional TD
methods become difficult when including multiple overtone modes due to close
oscillation frequencies and damping times across different overtone modes.
Encouragingly, this issue is effectively addressed by our new TD technique. The
accessibility of this new TD method extends to a broad spectrum of research and
offers flexibility for various topics within black hole spectroscopy applicable
to both current and future gravitational wave detectors.
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