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arxiv:2607.12973

Recursion Relations for Classical Gravity

Published on Jul 14
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Abstract

Recursion relations are derived to evaluate black hole scattering perturbatively in Einstein gravity, yielding correct third-order results with radiation back-reaction.

We derive a set of recursion relations for the perturbative evaluation of the scattering of two black holes in Einstein gravity. To illustrate, we solve the equations up to third post-Minkowskian order in the gravitational coupling constant G, recovering the correct result, including the back-reaction from gravitational radiation.

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