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Article Dans Une Revue Physical Review D Année : 2020

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

Résumé

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. Furthermore, 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.

Dates et versions

hal-02518086 , version 1 (24-03-2020)

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Adrien Kuntz. Half-solution to the two-body problem in General Relativity. Physical Review D, 2020, 102 (6), pp.064019. ⟨10.1103/PhysRevD.102.064019⟩. ⟨hal-02518086⟩
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