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arXiv · 2003.03366

Half-solution to the two-body problem in General Relativity

Adrien Kuntz
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Abstract

We show that the introduction of two worldline parameters defines a different approach to computations in the effective field theory approach to the two-body problem in General Relativity and present some preliminary evidence for a reduction in computational complexity. These parameters obey a polynomial equation whose perturbative expansion recovers an infinite series of diagrams. Futhermore, we show that our equations define an effective two-body horizon for interacting particles in General Relativity; in the circular orbit case, it corresponds to the smallest conceivable separation up to which the orbit can remain circular. We expect our results to simplify higher-order computations in the two-body problem, as well as to give insights on the nonperturbative properties of interacting binaries.

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Adrien Kuntz. 2020-08-31. Half-solution to the two-body problem in General Relativity. https://doi.org/10.1103/physrevd.102.064019

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