The DOI matches its Crossref record.
Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems
Open accessAbstract
We complete the analytical determination, at the 4th post-Newtonian (4PN) approximation, of the conservative dynamics of gravitationally interacting two-point-mass systems. This completion is obtained by resolving the infra-red ambiguity which had blocked a previous 4PN calculation [P. Jaranowski and G. Sch\"afer, Phys. Rev. D 87, 081503(R) (2013)] by taking into account the 4PN breakdown of the usual near-zone expansion due to infinite-range tail-transported temporal correlations found long ago [L. Blanchet and T. Damour, Phys. Rev. D 37, 1410 (1988)]. This leads to a Poincar\'e-invariant 4PN-accurate effective action for two masses, which mixes instantaneous interaction terms (described by a usual Hamiltonian) with a (time-symmetric) nonlocal-in-time interaction.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cited by
Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
Blanchet, L. (2006) · Living Reviews in Relativity · doi:10.12942/lrr-2006-4 · Cited by 686
Pratten, G., García-Quirós, C., Colleoni, M., Ramos-Buades, A., Estellés, H., Mateu-Lucena, M., Jaume, R., Haney, M., Keitel, D., Thompson, J. E., et al. (2021) · Physical Review D · doi:10.1103/physrevd.103.104056 · Cited by 555
Nonlocal gravity and dark energy
Maggiore, M., & Mancarella, M. (2014) · Physical Review D · doi:10.1103/physrevd.90.023005 · Cited by 221
Dirian, Y., Foffa, S., Khosravi, N., Kunz, M., & Maggiore, M. (2014) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2014/06/033 · Cited by 150
Metadata
- Authors
- Damour, T., Jaranowski, P., & Schäfer, G.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2014-03-26
- Volume
- 89
- Issue
- 6
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W1971141770
- Cited by
- 298
- References
- 0
- FWCI
- 12.91
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems. https://app.cochat.ai/papers/10.1103/physrevd.89.064058
- The paper
- Damour, T., Jaranowski, P., & Schäfer, G. (2014). Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems. Physical Review D. https://doi.org/10.1103/physrevd.89.064058
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
