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

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

2008-09-12

arxiv.org/abs/0809.2208v2

Phys.Rev.D78:124004,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

REVTeX4, 14 pages; center-of-mass-vector corrected Eq. (2.25) and modified coefficients of the Hamiltonian Eq. (7.3) and corre

Scientific paper

10.1103/PhysRevD.78.124004

The fulfillment of the space-asymptotic Poincar\'e 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 $G$.

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