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

Gergely, L.; Biermann, P. L.; Mikóczi, Balázs; Keresztes, Zoltán

doi:10.1088/0264-9381/26/20/204006

Class. Quantum Grav.

2009

DOI: 10.1088/0264-9381/26/20/204006

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

L. Gergely¹,

P. L. Biermann²,

Balázs Mikóczi³

et al.

Abstract: Abstract. 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 imprint 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… Show more

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2012

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Spin-dominated waveforms for unequal mass compact binaries

2012

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We derive spin-dominated waveforms (SDW) for binary systems composed of spinning black holes with unequal masses (less than 1:30). Such systems could be formed by an astrophysical black hole with a smaller black hole or a neutron star companion; and typically arise for supermassive black hole encounters. SDW characterize the last stages of the inspiral, when the larger spin dominates over the orbital angular momentum (while the spin of the smaller companion can be neglected). They emerge as a double expansion in the post-Newtonian parameter $\varepsilon$ and the ratio $\xi $ of the orbital angular momentum and dominant spin. The SDW amplitudes are presented to ($\varepsilon^{3/2},\xi$) orders, while the phase of the gravitational waves to ($\varepsilon^{2},\xi$) orders (omitting the highest order mixed terms). To this accuracy the amplitude includes the (leading order) spin-orbit contributions, while the phase the (leading order) spin-orbit, self-spin and mass quadrupole-monopole contributions. While the SDW hold for any mass ratio smaller than 1:30, lower bounds for the mass ratios are derived from the best sensitivity frequency range expected for Advanced LIGO (giving 1:140), the Einstein Telescope ($7\times 10^{-4}$), the LAGRANGE ($7\times 10^{-7}$) and LISA missions ($7\times 10^{-9}$), respectively.Comment: 14 pages, 2 figures, 5 tables, published versio

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Spin-dominated waveforms for unequal mass compact binaries

2012

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

Cited by 1 publication

References 48 publications

Spin-dominated waveforms for unequal mass compact binaries

Spin-dominated waveforms for unequal mass compact binaries

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