Higher-order-in-spin interaction Hamiltonians for binary black holes from Poincaré invariance

dc.creatorHergt, Steven
dc.creatorSchäfer, Gerhard
dc.date2008-09-12
dc.date2008-11-20
dc.date.accessioned2026-07-07T12:22:32Z
dc.date.available2026-07-07T12:22:32Z
dc.descriptionThe 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 $1/c^4$ spin-interaction Hamiltonians involving nonlinear spin terms. To linear order in $G$, the expressions for the $S^3p$- and the $S^2p^2$-Hamiltonians are completed. It is also shown that there are no quartic nonlinear $S^4$-Hamiltonians to linear order in $G$.
dc.descriptionREVTeX4, 14 pages; center-of-mass-vector corrected Eq. (2.25) and modified coefficients of the Hamiltonian Eq. (7.3) and corresponding source terms Eqs. (7.5) and (7.6) following hereof; version to appear in Phys Rev D
dc.identifierhttps://arxiv.org/abs/0809.2208
dc.identifierhttp://arxiv.org/abs/0809.2208
dc.identifierPhys.Rev.D78:124004,2008
dc.identifierdoi:10.1103/PhysRevD.78.124004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213684
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleHigher-order-in-spin interaction Hamiltonians for binary black holes from Poincaré invariance
dc.typetext

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