ArticleOriginal scientific text
Title
Technicalities in the calculation of the 3rd post-Newtonian dynamics
Authors 1
Affiliations
- Max-Planck-Society, Research Unit "Theory of Gravitation" at the Friedrich-Schiller-University, 07743 Jena, Germany
Abstract
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.
Bibliography
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Pages:
55-63
Main language of publication
English
Published
1997
Exact and natural sciences