Technicalities in the calculation of the 3rd post-Newtonian dynamics
Tom 41 / 1997
Banach Center Publications 41 (1997), 55-63
DOI: 10.4064/-41-2-55-63
Streszczenie
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.
