Abstract
Using the Multipolar post-Minskowskian formalism, we compute the linear momentum flux from black-hole binaries in circular orbits and having no spins. The total linear momentum flux contains various types of instantaneous (which are functions of the retarded time) and hereditary (which depend on the dynamics of the binary in the past) terms both of which are analytically computed. In addition to the inspiral contribution, we use a simple model of plunge to compute the kick or recoil accumulated during this phase.
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Notes
- 1.
Both mass octupole and current quadrupole have the same parity.
- 2.
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Mishra, C.K., Arun, K.G., Iyer, B.R. (2014). 2.5PN Kick from Black-Hole Binaries in Circular Orbit: Nonspinning Case. In: Bičák, J., Ledvinka, T. (eds) Relativity and Gravitation. Springer Proceedings in Physics, vol 157. Springer, Cham. https://doi.org/10.1007/978-3-319-06761-2_21
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