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Gravitational-wave equation in effective one-body background for spinless binary

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Abstract

The effective one-body method provides a framework to apply the black hole perturbation theory to the binary system where two masses can be comparable. We study the gravitational-wave equation in the background of the effective one-body system for the spinless binary, which is in general available with the spherically symmetric background as well. We obtain the gauge conditions for the decoupled wave equation, and also give the solutions to the gauge conditions in terms of the metric perturbation for a special case, which extends the result by Jing et al. (Sci. China-Phys. Mech. Astron. 65, 260411 (2022)). Finally we obtain the gravitational-wave equation which is the generalization of the Teukolsky equation.

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Authors and Affiliations

  1. School of Physical Science and Technology, Southwest Jiaotong University, Chengdu, 610031, China

    Ya Guo & Wenbin Lin

  2. School of Mathematics and Physics, University of South China, Hengyang, 421001, China

    Hiroaki Nakajima & Wenbin Lin

Authors
  1. Ya Guo
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  2. Hiroaki Nakajima
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  3. Wenbin Lin
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Correspondence to Wenbin Lin.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant No. 11973025).

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Guo, Y., Nakajima, H. & Lin, W. Gravitational-wave equation in effective one-body background for spinless binary. Sci. China Phys. Mech. Astron. 66, 270412 (2023). https://doi.org/10.1007/s11433-023-2087-8

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  • DOI: https://doi.org/10.1007/s11433-023-2087-8

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