Post-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations. IV. Radiation reaction for binary systems with spin-spin coupling

dc.creatorWang, Han
dc.creatorWill, Clifford M.
dc.date2007-01-08
dc.date2007-03-16
dc.date.accessioned2026-07-07T11:01:34Z
dc.date.available2026-07-07T11:01:34Z
dc.descriptionUsing post-Newtonian equations of motion for fluid bodies that include radiation-reaction terms at 2.5 and 3.5 post-Newtonian (PN) order O[(v/c)^5] and O[(v/c)^7] beyond Newtonian order), we derive the equations of motion for binary systems with spinning bodies, including spin-spin effects. In particular we determine the effects of radiation-reaction coupled to spin-spin effects on the two-body equations of motion, and on the evolution of the spins. We find that radiation damping causes a 3.5PN order, spin-spin induced precession of the individual spins. This contrasts with the case of spin-orbit coupling, where there is no effect on the spins at 3.5PN order. Employing the equations of motion and of spin precession, we verify that the loss of total energy and total angular momentum induced by spin-spin effects precisely balances the radiative flux of those quantities calculated by Kidder et al.
dc.description10 pages, coincides with published version
dc.identifierhttps://arxiv.org/abs/gr-qc/0701047
dc.identifierhttp://arxiv.org/abs/gr-qc/0701047
dc.identifierPhys.Rev.D75:064017,2007
dc.identifierdoi:10.1103/PhysRevD.75.064017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187989
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titlePost-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations. IV. Radiation reaction for binary systems with spin-spin coupling
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