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arXiv · 0809.2208

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

Steven Hergt·Gerhard Schäfer
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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 $S^3p$- 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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Steven Hergt, Gerhard Schäfer. 2008-11-20. Higher-order-in-spin interaction Hamiltonians for binary black holes from Poincaré invariance. https://doi.org/10.1103/physrevd.78.124004

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