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On the detectability and resolvability of quasi-normal modes with space-based gravitational wave detectors
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The detection of quasi-normal modes during the ringdown phase is a crucial method for testing the no-hair theorem. In this paper, the detectability and resolvability of multiple quasi-normal modes using space-based gravitational wave detectors have been analyzed. The results indicate that TianQin and LISA have the potential to detect and resolve a series of modes, including six fundamental modes, one overtone, and two nonlinear second-order modes. Furthermore, the analysis of systematic errors in the waveform suggests that even modes such as (3,3,1) and (4,3,0), which are unlikely to be directly detected and resolved, need to be taken into account in the ringdown waveform templates.
Forward citations
Cited by 2 Pith papers
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Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit
Kerr quadratic quasi-normal mode amplitudes and phases are computed analytically in the eikonal limit via the Penrose limit, giving an explicit spin-dependent nonlinearity ratio.
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Separating the linearized Einstein equations in Kerr
A derivation is presented that separates the linearized Einstein equations in Kerr spacetime and expresses all metric perturbation components in terms of Teukolsky master functions.
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