http://www.cnr.it/ontology/cnr/individuo/prodotto/ID289171
High-order post-Newtonian contributions to the two-body gravitational interaction potential from analytical gravitational self-force calculations (Articolo in rivista)
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- High-order post-Newtonian contributions to the two-body gravitational interaction potential from analytical gravitational self-force calculations (Articolo in rivista) (literal)
- Anno
- 2014-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1103/PhysRevD.89.064063 (literal)
- Alternative label
Bini, Donato; Damour, Thibault (2014)
High-order post-Newtonian contributions to the two-body gravitational interaction potential from analytical gravitational self-force calculations
in Physical review. D, Particles, fields, gravitation, and cosmology
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- Bini, Donato; Damour, Thibault (literal)
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- Consiglio Nazionale delle Ricerche (CNR); Inst Hautes Etud Sci (literal)
- Titolo
- High-order post-Newtonian contributions to the two-body gravitational interaction potential from analytical gravitational self-force calculations (literal)
- Abstract
- We extend the analytical determination of the main radial potential describing (within the effective one-body formalism) the gravitational interaction of two bodies beyond the fourth post-Newtonian approximation recently obtained by us. This extension is done to linear order in the mass ratio by applying analytical gravitational self-force theory (for a particle in circular orbit around a Schwarzschild black hole) to Detweiler's gauge-invariant redshift variable. By using the version of black hole perturbation theory developed by Mano, Suzuki and Takasugi, we have pushed the analytical determination of the (linear in mass ratio) radial potential to the sixth post-Newtonian order (passing through 5 and 5.5 post-Newtonian terms). In principle, our analytical method can be extended to arbitrarily high post-Newtonian orders. (literal)
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