Abstract
We map the general relativistic two-body problem onto that of a test particle\nmoving in an effective external metric. This effective-one-body approach\ndefines, in a non-perturbative manner, the late dynamical evolution of a\ncoalescing binary system of compact objects. The transition from the adiabatic\ninspiral, driven by gravitational radiation damping, to an unstable plunge,\ninduced by strong spacetime curvature, is predicted to occur for orbits more\ntightly bound than the innermost stable circular orbit in a Schwarzschild\nmetric of mass M = m1 + m2. The binding energy, angular momentum and orbital\nfrequency of the innermost stable circular orbit for the time-symmetric\ntwo-body problem are determined as a function of the mass ratio.\n
Keywords
PhysicsCircular orbitOrbit (dynamics)Schwarzschild radiusCurvatureClassical mechanicsAngular momentumSchwarzschild metricMetric (unit)Test particleAdiabatic processSpacetimeGravitationTwo-body problemEnergy–momentum relationMass ratioThree-body problemGeneral relativityGeometryQuantum mechanicsAstrophysicsMathematics
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Publication Info
- Year
- 1999
- Type
- article
- Volume
- 59
- Issue
- 8
- Citations
- 1230
- Access
- Closed
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Cite This
Alessandra Buonanno,
Thibault Damour
(1999).
Effective one-body approach to general relativistic two-body dynamics.
Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
, 59
(8)
.
https://doi.org/10.1103/physrevd.59.084006
Identifiers
- DOI
- 10.1103/physrevd.59.084006
- arXiv
- gr-qc/9811091