Renormalized spin coefficients in the accumulated orbital phase for unequal mass black hole binaries

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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10 pages, to appear in Class. Quantum Grav. GWDAW13 Proceedings Special Issue, v2: no typos conjecture

Scientific paper

10.1088/0264-9381/26/20/204006

We analyze galactic black hole mergers and their emitted gravitational waves. Such mergers have typically unequal masses with mass ratio of the order 1/10. The emitted gravitational waves carry the inprint of spins and mass quadrupoles of the binary components. Among these contributions, we consider here the quasi-precessional evolution of the spins. A method of taking into account these third post-Newtonian (3PN) effects by renormalizing (redefining) the 1.5 PN and 2PN accurate spin contributions to the accumulated orbital phase is developed.

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