Abstract
The two-body problem in general relativity is reduced to the problem of an effective particle (with an energy-dependent relativistic reduced mass) in an external field. The effective potential is evaluated from the Born diagram of the linearized quantum theory of gravity. It reduces to a Schwarzschild-like potential with two different ‘Schwarzschild radii’. The results derived in a weak field approximation are expected to be relevant for relativistic velocities.
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