2007/01/31 by Han Wang, Clifford M. Will · 3 citations
Engineering · Physics and Astronomy · #Cosmology and Gravitation Theories #Fluid Dynamics and Turbulent Flows #Pulsars and Gravitational Waves Research #gr-qc
paper · pdf · doi:10.1103/physrevd.75.064017
published as Phys.Rev.D75:064017,2007 · 10 pages, coincides with published version
openalex publication_date 2007/03/15 · arxiv created 2007/03/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using 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 we earlier found 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.