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Spin-multipole effects in binary black holes and the test-body limit

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

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

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Fulltext (public)

1606.08832.pdf
(Preprint), 488KB

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Citation

Vines, J., & Steinhoff, J. (2018). Spin-multipole effects in binary black holes and the test-body limit. Physical Review D, 97(6): 064010. doi:10.1103/PhysRevD.97.064010.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002B-02E0-6
Abstract
We discuss the Hamiltonian for the conservative dynamics of generic-orbit arbitrary-mass-ratio spinning binary black holes, at the leading post-Newtonian orders at each order in an expansion in spins, to all orders in the spins. The leading-order couplings can all be obtained from a map to the motion of a test black hole (a test body with the spin-induced multipoles of a Kerr black hole) in the Kerr spacetime, as is confirmed with direct post-Newtonian calculations for arbitrary mass ratios. Furthermore, all of the couplings can be "deduced" from those of a pole-dipole test body in Kerr.