Phys. Rev. D 78, 124004 (2008) [11 pages]Higher-order-in-spin interaction Hamiltonians for binary black holes from Poincaré invarianceReceived 2 September 2008; published 5 December 2008 The fulfillment of the space-asymptotic Poincaré algebra is used to derive new higher-order-in-spin interaction Hamiltonians for binary black holes in the Arnowitt-Deser-Misner canonical formalism almost completing the set of the formally 1/c4 spin-interaction Hamiltonians involving nonlinear spin terms. To linear order in G, the expressions for the S3p and the S2p2 Hamiltonians are completed. It is also shown that there are no quartic nonlinear S4 Hamiltonians to linear order in G. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.78.124004
DOI:
10.1103/PhysRevD.78.124004
PACS:
04.25.−g, 04.25.Nx, 04.30.Db, 04.70.Bw
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