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The 6th Post-Newtonian Potential Terms at $O(G_N^4)$

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arxiv 2101.08630 v1 pith:VH7BUZQT submitted 2021-01-21 gr-qc hep-th

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abstract

We calculate the potential contributions of the Hamiltonian in harmonic coordinates up 6PN for binary mass systems to $O(G_N^4)$ and perform comparisons to recent results in the literature \cite{Bern:2021dqo} and \cite{Bini:2020nsb}.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Nonlocal-in-time tail effects in gravitational scattering to fifth Post-Minkowskian and tenth self-force orders

    hep-th 2026-04 unverdicted novelty 8.0 of 10

    Nonlocal-in-time conservative tail contributions to gravitational scattering are derived at 5PM and 10SF orders, expressed via polylogarithms up to weight three and agreeing with prior results through 6PN.

  2. The Classical Gravitational Impulse at High Energies

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    The gravitational impulse for ultrarelativistic massive scalars is resummed to all orders in G_N at fixed G_N s/mb, recovering post-Minkowski results and predicting the leading high-energy behavior to eleventh post-Mi...

  3. N-body next-to-leading order gravitational spin-orbit interaction via effective field theory

    gr-qc 2026-05 conditional novelty 6.0 of 10

    The NLO gravitational spin-orbit Hamiltonian for N spinning bodies is computed via PN-EFT, with only three-body diagrams new beyond the binary case, and the result matches the known ADM Hamiltonian up to canonical tra...

  4. All-order structure of static gravitational interactions and the seventh post-Newtonian potential

    hep-th 2026-04 unverdicted novelty 6.0 of 10

    A closed formula computes static post-Newtonian corrections at arbitrary odd orders in gravity, yielding the explicit seventh post-Newtonian potential that matches an independent diagrammatic method.

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