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Gravitational waves from spinning binary black holes at the leading post-Newtonian orders at all orders in spin

MPS-Authors
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Steinhoff,  Jan
Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Vines,  Justin
Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1712.08603.pdf
(Preprint), 592KB

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Citation

Siemonsen, N., Steinhoff, J., & Vines, J. (2018). Gravitational waves from spinning binary black holes at the leading post-Newtonian orders at all orders in spin. Physical Review D, 97(12): 124046. doi:10.1103/PhysRevD.97.124046.


Cite as: http://hdl.handle.net/21.11116/0000-0000-3C3A-D
Abstract
We determine the binding energy, the total gravitational wave energy flux, and the gravitational wave modes for a binary of rapidly spinning black holes, working in linearized gravity and at leading orders in the orbital velocity, but to all orders in the black holes' spins. Though the spins are treated nonperturbatively, surprisingly, the binding energy and the flux are given by simple analytical expressions which are finite (respectively third- and fifth-order) polynomials in the spins. Our final results are restricted to the important case of quasi-circular orbits with the black holes' spins aligned with the orbital angular momentum.