Next-to-next-to-leading order post-Newtonian spin-orbit Hamiltonian for self-gravitating binaries

2011/04/30 by Johannes Hartung, J. Hartung, J. Steinhoff +1 · 4 citations
Physics and Astronomy · #Binary number #Black Holes and Theoretical Physics #Covariant Hamiltonian field theory #Hamiltonian (control theory) #Hamiltonian system #Noncommutative and Quantum Gravity Theories #Pulsars and Gravitational Waves Research #Spinning #Superintegrable Hamiltonian system #astro-ph.HE #gr-qc #hep-th

paper · pdf · doi:10.1002/andp.201100094

published as Annalen Phys. 523:783,2011 · 9 pages, v2: revised version, v3: published version, v4: typo corrected

openalex publication_date 2011/07/05 · arxiv created 2012/08/15 · arxiv updated 2012/08/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present the next-to-next-to-leading order post-Newtonian (PN) spin-orbit Hamiltonian for two self-gravitating spinning compact objects. If at least one of the objects is rapidly rotating, then the corresponding interaction is comparable in strength to a 3.5PN effect. The result in the present paper in fact completes the knowledge of the post-Newtonian Hamiltonian for binary spinning black holes up to and including 3.5PN. The Hamiltonian is checked via known results for the test-spin case and via the global Poincaré algebra with the center-of-mass vector uniquely determined by an ansatz.

Citations

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Cited by

• Black holes, gravitational waves and fundamental physics: a roadmap
• Spin–orbit precession for eccentric black hole binaries at first order in the mass ratio
• Influence of internal structure on the motion of test bodies in extreme mass ratio situations
• Next-to-next-to-leading order spin–orbit effects in the gravitational wave flux and orbital phasing of compact binaries