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Classical and Quantum Two-Body Problem in General Relativity

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arxiv 1611.02943 v2 pith:EHD7D44W submitted 2016-11-09 gr-qc hep-th

Classical and Quantum Two-Body Problem in General Relativity

classification gr-qc hep-th
keywords problemeffectivefieldgeneralpotentialquantumreducedrelativistic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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