Classical and Quantum Two-Body Problem in General Relativity

Understand

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.