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

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 نشر من قبل Steven Hergt
 تاريخ النشر 2008
  مجال البحث فيزياء
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The fulfillment of the space-asymptotic Poincare 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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