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

Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany

Phys. Rev. D 78, 124004 – Published 5 December, 2008

DOI: https://doi.org/10.1103/PhysRevD.78.124004

Abstract

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 $1 / c^{4}$ spin-interaction Hamiltonians involving nonlinear spin terms. To linear order in $G$ , the expressions for the $S^{3} p$ and the $S^{2} p^{2}$ 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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References (18)

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

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Higher-order-in-spin interaction Hamiltonians for binary black holes from source terms of Kerr geometry in approximate ADM coordinates

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