Gravitons scattering from classical matter

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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15 pages, 3 figures, to be published in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/25/9/095012

The low energy scattering of gravitons from a composite extended system, which is made of classical massive bodies, is considered; by using the Feynman rules of effective quantum gravity, the corresponding cross-section is computed to lowest order in powers of the gravitational coupling constant. For the gravitons scattering from a rotating planet or a star, it is shown that the classical limit of the matter-gravitons coupling in the effective quantum gravity lagrangian leads to a low energy scattering amplitude which coincides with the expression obtained in classical general relativity.

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