Gravitational waves from spinning binary black holes at the leading postNewtonian orders at all orders in spin
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 fifthorder) polynomials in the spins. Our final results are restricted to the important case of quasicircular orbits with the black holes' spins aligned with the orbital angular momentum.
 Publication:

Physical Review D
 Pub Date:
 June 2018
 DOI:
 10.1103/PhysRevD.97.124046
 arXiv:
 arXiv:1712.08603
 Bibcode:
 2018PhRvD..97l4046S
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 16 pages, 1 figure