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

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.

arXiv comment16 pages, 6 figures. More detailed version accepted in PRD

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Cited by in corpus (5)

• Post-Minkowskian Effective Field Theory for Conservative Binary Dynamics
• Gravitational Bremsstrahlung in the Post-Minkowskian Effective Field Theory
• Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
• Gravitational Bremsstrahlung with tidal effects in the post-Minkowskian expansion
• Waveforms from Amplitudes