The binary black-hole dynamics at the third-and-a-half post-Newtonian order in the ADM-formalism

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dc.creatorKoenigsdoerffer, C.
dc.creatorFaye, G.
dc.creatorSchaefer, G.
dc.date2003-05-13
dc.date2003-06-10
dc.date.accessioned2026-07-07T11:46:20Z
dc.date.available2026-07-07T11:46:20Z
dc.descriptionWe specialize the radiation-reaction part of the Arnowitt-Deser-Misner (ADM) Hamiltonian for many non-spinning point-like bodies, calculated by Jaranowski and Schaefer [1], to third-and-a-half post-Newtonian approximation to general relativity, to binary systems. This Hamiltonian is used for the computation of the instantaneous gravitational energy loss of a binary to 1PN reactive order. We also derive the equations of motion, which include PN reactive terms via Hamiltonian and Euler-Lagrangian approaches. The results are consistent with the expressions for reactive acceleration provided by Iyer-Will formalism in Ref. [2] in a general class of gauges.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/gr-qc/0305048
dc.identifierhttp://arxiv.org/abs/gr-qc/0305048
dc.identifierPhys.Rev.D68:044004,2003
dc.identifierdoi:10.1103/PhysRevD.68.044004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202188
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleThe binary black-hole dynamics at the third-and-a-half post-Newtonian order in the ADM-formalism
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