https://doi.org/10.1140/epjc/s10052-023-11705-6
Regular Article - Theoretical Physics
Effective metric of spinless binaries with radiation-reaction effect up to fourth post-Minkowskian order in effective-one-body theory
1
Department of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, 410081, Changsha, Hunan, People’s Republic of China
2
Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, 225009, Yangzhou, People’s Republic of China
Received:
5
May
2023
Accepted:
9
June
2023
Published online:
12
July
2023
By means of the scattering angles, we obtain an effective metric of spinless binaries with radiation-reaction effects up to fourth post-Minkowskian order, which is the foundation of the effective-one-body theory. We note that there are freedoms for the parameters of the effective metric because one equation corresponds to two parameters for each post-Minkowskian order. Accordingly, in order to construct a self-consistent effective-one-body theory in which the Hamiltonian, radiation-reaction forces and waveforms for the “plus” and “cross” modes of the gravitational wave should be based on the same physical model, we can fix these freedoms by requiring the null tetrad component of the gravitationally perturbed Weyl tensor 
to be decoupled in the effective spacetime.
© The Author(s) 2023. corrected publication 2023. corrected publication 2023
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