Analyzing black-hole ringdowns with orthonormal modes
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866914394329317376 |
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| author | Morisaki, Soichiro Motohashi, Hayato Suzuki, Motoki Watarai, Daiki |
| author_facet | Morisaki, Soichiro Motohashi, Hayato Suzuki, Motoki Watarai, Daiki |
| contents | The ringdown signal following a black hole (BH) merger can be modeled as a superposition of BH quasinormal modes (QNMs), offering a clean setup for testing gravitational theories. In particular, detecting multiple QNMs enables consistency checks of their frequencies and damping times, serving as a test of general relativity -- a technique known as black hole spectroscopy. However, incorporating additional QNMs introduces challenges such as increased parameter correlations and higher computational costs in data analysis. To address this, we propose an efficient Bayesian analysis method that applies the Gram-Schmidt algorithm to the QNMs. This reduces the correlation between the modes and enables analytic marginalization over the mode amplitudes. We validate our approach using damped sinusoids and numerical waveforms from the Simulating eXtreme Spacetimes catalog. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_12376 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Analyzing black-hole ringdowns with orthonormal modes Morisaki, Soichiro Motohashi, Hayato Suzuki, Motoki Watarai, Daiki General Relativity and Quantum Cosmology The ringdown signal following a black hole (BH) merger can be modeled as a superposition of BH quasinormal modes (QNMs), offering a clean setup for testing gravitational theories. In particular, detecting multiple QNMs enables consistency checks of their frequencies and damping times, serving as a test of general relativity -- a technique known as black hole spectroscopy. However, incorporating additional QNMs introduces challenges such as increased parameter correlations and higher computational costs in data analysis. To address this, we propose an efficient Bayesian analysis method that applies the Gram-Schmidt algorithm to the QNMs. This reduces the correlation between the modes and enables analytic marginalization over the mode amplitudes. We validate our approach using damped sinusoids and numerical waveforms from the Simulating eXtreme Spacetimes catalog. |
| title | Analyzing black-hole ringdowns with orthonormal modes |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2507.12376 |