Fourth Post-Minkowskian Local-in-Time Conservative Dynamics of Binary Systems

2024/06/07 by Donato Bini, Thibault Damour, Bini, Donato +1 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Pulsars and Gravitational Waves Research #Quantum, superfluid, helium dynamics

paper · pdf · doi:10.48550/arxiv.2406.04878

openalex publication_date 2024/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the purely local-in-time (scale-free and logarithm-free) part of the conservative dynamics of gravitationally interacting two-body systems at the fourth post-Minkowskian order, and at the thirtiest order in velocity. The gauge-invariant content of this fourth post-Minkowskian local dynamics is given in two ways: (i) its contribution to the on-shell action (for both hyperboliclike and ellipticlike motions); and (ii) its contribution to the Effective One Body Hamiltonian (in energy gauge). Our computation capitalizes on the Tutti Frutti approach [Phys. Rev. Lett. 123, no.23, 231104 (2019)], and on recent post-Minkowskian advances [Phys. Rev. Lett. 128, no.16, 161103 (2022)], [Phys. Rev. Lett. 128, no.16, 161104 (2022)], and [Phys. Rev. Lett. 132, no.22, 221401 (2024)].

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