Leading-order spin-orbit and spin(1)-spin(2) radiation-reaction Hamiltonians
Han Wang, Jan Steinhoff, Jing Zeng, Gerhard Sch\"afer
TL;DR
This paper derives leading-order spin-orbit and spin(1)-spin(2) radiation-reaction Hamiltonians using ADM formalism, applicable to multiple objects, and verifies energy loss against known flux results.
Contribution
It provides the first calculation of these Hamiltonians at leading order for arbitrary many-body systems using ADM formalism.
Findings
Hamiltonians derived for arbitrary many objects
Energy loss computed and validated against known flux results
Applicable to complex astrophysical systems with spins
Abstract
In the present paper, the leading-order post-Newtonian spin-orbit and spin(1)-spin(2) radiation-reaction Hamiltonians are calculated. We utilize the canonical formalism of Arnowitt, Deser, and Misner (ADM), which has shown to be valuable for this kind of calculation. The results are valid for arbitrary many objects. The energy loss is then computed and compared to well-known results for the energy flux as a check.
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