Technicalities in the calculation of the 3rd post-Newtonian dynamics

• Autorzy: Piotr Jaranowski
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1997
• Tom: 41
• Numer: 2
• Strony: 55-63

Daty

wydano

1997

Twórcy

autor

Piotr Jaranowski

• Max-Planck-Society, Research Unit "Theory of Gravitation" at the Friedrich-Schiller-University, 07743 Jena, Germany

Bibliografia

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• [3] P. Jaranowski and G. Schäfer, Radiative 3.5 post-Newtonian ADM Hamiltonian for many-body point-mass systems, Phys. Rev. D (1996), submitted.
• [4] P. Jaranowski and G. Schäfer, 3rd post-Newtonian ADM Hamiltonian for two-body point-mass systems, in preparation.
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