Geodesic
Technicalities in the calculation of the 3rd post-Newtonian dynamics
Banach Center Publications, Tome 41 (1997) no. 2, pp. 55-63

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Dynamics of a point-particle system interacting gravitationally according to the general theory of relativity can be analyzed within the canonical formalism of Arnowitt, Deser, and Misner. To describe the property of being a point particle one can employ Dirac delta distribution in the energy-momentum tensor of the system. We report some mathematical difficulties which arise in deriving the 3rd post-Newtonian Hamilton's function for such a system. We also offer ways to overcome partially these difficulties.
DOI : 10.4064/-41-2-55-63

Piotr Jaranowski 1

1 
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Piotr Jaranowski. Technicalities in the calculation of the 3rd post-Newtonian dynamics. Banach Center Publications, Tome 41 (1997) no. 2, pp. 55-63. doi: 10.4064/-41-2-55-63

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