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Poincaré invariance in the ADM Hamiltonian approach to the general relativistic two-body problem
Open accessAbstract
A previously found momentum-dependent regularization ambiguity in the third post-Newtonian two point-mass Arnowitt-Deser-Misner Hamiltonian is shown to be uniquely determined by requiring global Poincar\'e invariance. The phase-space generators realizing the Poincar\'e algebra are explicitly constructed.
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Citations
Cited by
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Will, C. M. (2006) · Living Reviews in Relativity · doi:10.12942/lrr-2006-3 · Cited by 1,606
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Blanchet, L. (2006) · Living Reviews in Relativity · doi:10.12942/lrr-2006-4 · Cited by 686
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Will, C. M. (2001) · Living Reviews in Relativity · doi:10.12942/lrr-2001-4 · Cited by 523
Metadata
- Authors
- Damour, T., Jaranowski, P., & Schäfer, G.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2000-06-02
- Volume
- 62
- Issue
- 2
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2005307185
- Cited by
- 178
- References
- 0
- FWCI
- 7.41
- Type
- journal article
- Language
- en
- Open access
- green
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- CoChat. (2026). Citation check: Poincaré invariance in the ADM Hamiltonian approach to the general relativistic two-body problem. https://app.cochat.ai/papers/10.1103/physrevd.62.021501
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- Damour, T., Jaranowski, P., & Schäfer, G. (2000). Poincaré invariance in the ADM Hamiltonian approach to the general relativistic two-body problem. Physical Review D. https://doi.org/10.1103/physrevd.62.021501
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