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PreprintCC BY 4.0arXiv

Modified Teukolsky Formalism for Extreme Mass-Ratio Inspirals in Higher-Derivative Gravity

  • Chaoyi Yang
  • Neev Khera
  • Dongjun Li
  • Huan Yang
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Abstract

In this work, we study a model problem involving a point particle spiraling into a non-rotating black hole in higher-derivative theories of gravity. In such theories, both the background spacetime and the generation and propagation of gravitational waves differ from those in General Relativity. We develop a modified Teukolsky formalism to describe gravitational waves sourced by the point particle and, as an illustrative example, compute the resulting fluxes to the black hole horizon and null infinity for a cubic gravity theory. The formalism is constructed in a way that can be naturally extended to rotating black holes. These results represent essential steps to build extreme mass-ratio-inspiral waveforms in modified gravity theories, which may also be rescaled to approximate waveforms from comparable-mass binary black hole systems, analogous to existing approaches in General Relativity.

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Cite

BibTeXRIS
BibTeX
@misc{yang2026modified,
  title = {{Modified Teukolsky Formalism for Extreme Mass-Ratio Inspirals in Higher-Derivative Gravity}},
  author = {Chaoyi Yang and Neev Khera and Dongjun Li and Huan Yang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2606.09766},
  eprint = {2606.09766},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.09766},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Modified Teukolsky Formalism for Extreme Mass-Ratio Inspirals in Higher-Derivative Gravity
AU  - Chaoyi Yang
AU  - Neev Khera
AU  - Dongjun Li
AU  - Huan Yang
PY  - 2026
DA  - 2026/10/16
PB  - arXiv
DO  - 10.48550/arxiv.2606.09766
UR  - https://arxiv.org/abs/2606.09766
AB  - In this work, we study a model problem involving a point particle spiraling into a non-rotating black hole in higher-derivative theories of gravity. In such theories, both the background spacetime and the generation and propagation of gravitational waves differ from those in General Relativity. We develop a modified Teukolsky formalism to describe gravitational waves sourced by the point particle and, as an illustrative example, compute the resulting fluxes to the black hole horizon and null infinity for a cubic gravity theory. The formalism is constructed in a way that can be naturally extended to rotating black holes. These results represent essential steps to build extreme mass-ratio-inspiral waveforms in modified gravity theories, which may also be rescaled to approximate waveforms from comparable-mass binary black hole systems, analogous to existing approaches in General Relativity.
ER  -