Calculation of the First Nonlinear Contribution to the General-Relativistic Spin-Spin Interaction for Binary Systems

2006/04/21 by Rafael A. Porto, Ira Z. Rothstein · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Pulsars and Gravitational Waves Research #Quantum Chromodynamics and Particle Interactions #astro-ph #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevlett.97.021101

published as Phys.Rev.Lett. 97 (2006) 021101 · 4 pages, 2 figures, RevTex

arxiv created 2006/04/21 · openalex publication_date 2006/07/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use recently developed effective field theory techniques to calculate the third order post-Newtonian correction to the spin-spin potential between two spinning objects. This correction represents the first contribution to the spin-spin interaction due to the nonlinear nature of general relativity and will play an important role in forthcoming gravity wave experiments.

Citations

• LISA - an ESA cornerstone mission for a gravitational wave observatory
• Multipole expansions of gravitational radiation

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• Spin(1)Spin(2) Effects in the Motion of Inspiralling Compact Binaries at Third Order in the Post-Newtonian Expansion
• Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries