Paper

{
  "raw_xml": "<entry>\n    <id>http://arxiv.org/abs/2603.01456v1</id>\n    <title>Modified Teukolsky formalism: Null testing and numerical benchmarking</title>\n    <updated>2026-03-02T05:13:12Z</updated>\n    <link href='https://arxiv.org/abs/2603.01456v1' rel='alternate' type='text/html'/>\n    <link href='https://arxiv.org/pdf/2603.01456v1' rel='related' title='pdf' type='application/pdf'/>\n    <summary>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 precitions for robust strong-field tests, with straightforward extensions to rotating backgrounds and coupling with matter fields.</summary>\n    <category scheme='http://arxiv.org/schemas/atom' term='gr-qc'/>\n    <category scheme='http://arxiv.org/schemas/atom' term='astro-ph.HE'/>\n    <category scheme='http://arxiv.org/schemas/atom' term='hep-ph'/>\n    <category scheme='http://arxiv.org/schemas/atom' term='hep-th'/>\n    <category scheme='http://arxiv.org/schemas/atom' term='math-ph'/>\n    <published>2026-03-02T05:13:12Z</published>\n    <arxiv:comment>24 pages,6 figures</arxiv:comment>\n    <arxiv:primary_category term='gr-qc'/>\n    <author>\n      <name>Fawzi Aly</name>\n    </author>\n    <author>\n      <name>Mahmoud A. Mansour</name>\n    </author>\n    <author>\n      <name>Luis Lehner</name>\n    </author>\n    <author>\n      <name>Dejan Stojkovic</name>\n    </author>\n    <author>\n      <name>Dongjun Li</name>\n    </author>\n    <author>\n      <name>Pratik Wagle</name>\n    </author>\n  </entry>"
}