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  Quadratic-in-spin effects in the orbital dynamics and gravitational-wave energy flux of compact binaries at the 3PN order

Bohé, A., Faye, G., Marsat, S., & Porter, E. K. (2015). Quadratic-in-spin effects in the orbital dynamics and gravitational-wave energy flux of compact binaries at the 3PN order. Classical and quantum gravity, 32(9): 195010. doi:10.1088/0264-9381/32/19/195010.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-0B23-A Version Permalink: http://hdl.handle.net/21.11116/0000-0002-996E-7
Genre: Journal Article

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 Creators:
Bohé, Alejandro1, Author              
Faye, Guillaume, Author
Marsat, Sylvain1, Author              
Porter, Edward K, Author
Affiliations:
1Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_1933290              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: We investigate the dynamics of spinning binaries of compact objects at the next-to-leading order in the quadratic-in-spin effects, which corresponds to the third post-Newtonian order (3PN). Using a Dixon-type multipolar formalism for spinning point particles endowed with spin-induced quadrupoles and computing iteratively in harmonic coordinates the relevant pieces of the PN metric within the near zone, we derive the post-Newtonian equations of motion as well as the equations of spin precession. We find full equivalence with available results. We then focus on the far-zone field produced by those systems and obtain the previously unknown 3PN spin contributions to the gravitational-wave energy flux by means of the multipolar post-Minkowskian (MPM) wave generation formalism. Our results are presented in the center-of-mass frame for generic orbits, before being further specialized to the case of spin-aligned, circular orbits. We derive the orbital phase of the binary based on the energy balance equation and briefly discuss the relevance of the new terms.

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 Dates: 2015-01-072015
 Publication Status: Published in print
 Pages: 40 pages; submitted to Classical and Quantum Gravity
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 Identifiers: arXiv: 1501.01529
DOI: 10.1088/0264-9381/32/19/195010
URI: http://arxiv.org/abs/1501.01529
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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 32 (9) Sequence Number: 195010 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: /journals/resource/954925513480_1