Modified Teukolsky formalism: Null testing and numerical benchmarking
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866908874875863040 |
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| author | Aly, Fawzi Mansour, Mahmoud A. Lehner, Luis Stojkovic, Dejan Li, Dongjun Wagle, Pratik |
| author_facet | Aly, Fawzi Mansour, Mahmoud A. Lehner, Luis Stojkovic, Dejan Li, Dongjun Wagle, Pratik |
| contents | Next-generation gravitational-wave detectors will make black-hole ringdown an increasingly sensitive probe of small departures from General Relativity in the strong-field regime. This motivates obtaining high-precision predictions of gravitational effective field theory, as spectral shifts can be quite small. Here we perform a focused stress test of the modified-Teukolsky framework by designing two null diagnostics. First, we consider an action with redundant operators that must produce zero first-order vacuum QNM shifts. Second, we exploit a Ricci-flat identity relating two physical cubic Riemann to test such a relation is satisfied by the ringdown spectra obtained. We compute the shifts using two independent numerical approaches: the eigenvalue-perturbation and generalized continued-fraction (Leaver-type) methods. Both null tests are passed across multiple multipoles and overtones, and the control-operator results agree in magnitude with the benchmark values reported in Ref. [1]. These validations support using the framework for obtaining accurate predictions for robust strong-field tests, with straightforward extensions to rotating backgrounds and coupling with matter fields. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_01456 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Modified Teukolsky formalism: Null testing and numerical benchmarking Aly, Fawzi Mansour, Mahmoud A. Lehner, Luis Stojkovic, Dejan Li, Dongjun Wagle, Pratik General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Phenomenology High Energy Physics - Theory Mathematical Physics Next-generation gravitational-wave detectors will make black-hole ringdown an increasingly sensitive probe of small departures from General Relativity in the strong-field regime. This motivates obtaining high-precision predictions of gravitational effective field theory, as spectral shifts can be quite small. Here we perform a focused stress test of the modified-Teukolsky framework by designing two null diagnostics. First, we consider an action with redundant operators that must produce zero first-order vacuum QNM shifts. Second, we exploit a Ricci-flat identity relating two physical cubic Riemann to test such a relation is satisfied by the ringdown spectra obtained. We compute the shifts using two independent numerical approaches: the eigenvalue-perturbation and generalized continued-fraction (Leaver-type) methods. Both null tests are passed across multiple multipoles and overtones, and the control-operator results agree in magnitude with the benchmark values reported in Ref. [1]. These validations support using the framework for obtaining accurate predictions for robust strong-field tests, with straightforward extensions to rotating backgrounds and coupling with matter fields. |
| title | Modified Teukolsky formalism: Null testing and numerical benchmarking |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Phenomenology High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2603.01456 |