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Next-to-next-to-leading order post-Newtonian spin(1)-spin(2) Hamiltonian for self-gravitating binaries

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arxiv 1107.4294 v2 pith:IQL25MTU submitted 2011-07-21 gr-qc astro-ph.HEhep-th

Johannes Hartung , Jan Steinhoff This is my paper · ORCID
classification gr-qcastro-ph.HEhep-th
keywords spinhamiltoniannext-to-next-to-leadingobjectsorderpost-newtonianself-gravitatingalgebra
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We present the next-to-next-to-leading order post-Newtonian (PN) spin(1)-spin(2) Hamiltonian for two self-gravitating spinning compact objects. If both objects are rapidly rotating, then the corresponding interaction is comparable in strength to a 4PN effect. The Hamiltonian is checked via the global Poincare algebra with the center-of-mass vector uniquely determined by an ansatz.

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  1. Gravitational Bremsstrahlung in Black-Hole Scattering at $\mathcal{O}(G^3)$: Quadratic-in-Spin Effects

    hep-th 2025-05 accept novelty 7.0 of 10

    First computation of the O(G^3 S^2) momentum-space gravitational waveform for two scattering spinning black holes, plus the leading three-body spinning waveform.

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