Technicalities in the calculation of the 3rd post-Newtonian dynamics
Banach Center Publications (1997)
- Volume: 41, Issue: 2, page 55-63
- ISSN: 0137-6934
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topJaranowski, Piotr. "Technicalities in the calculation of the 3rd post-Newtonian dynamics." Banach Center Publications 41.2 (1997): 55-63. <http://eudml.org/doc/252187>.
@article{Jaranowski1997,
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.},
author = {Jaranowski, Piotr},
journal = {Banach Center Publications},
keywords = {ADM formalism; point-particle system; energy-momentum tensor},
language = {eng},
number = {2},
pages = {55-63},
title = {Technicalities in the calculation of the 3rd post-Newtonian dynamics},
url = {http://eudml.org/doc/252187},
volume = {41},
year = {1997},
}
TY - JOUR
AU - Jaranowski, Piotr
TI - Technicalities in the calculation of the 3rd post-Newtonian dynamics
JO - Banach Center Publications
PY - 1997
VL - 41
IS - 2
SP - 55
EP - 63
AB - 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.
LA - eng
KW - ADM formalism; point-particle system; energy-momentum tensor
UR - http://eudml.org/doc/252187
ER -
References
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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.
- [5] S. M. Kopeikin, General-relativistic equations of binary motion for extended bodies with conservative corrections and radiation damping, Sov. Astron. 29 (1985), 516-524.
- [6] T. Ohta, H. Okamura, T. Kimura, and K. Hiida, Higher order gravitational potential for many-body system, Progr. Theor. Phys. 51 (1974), 1220-1238.
- [7] M. Riesz, L'intégrale de Riemann-Liouville et le problème de Cauchy, Acta Mathematica 81 (1949), 1-223.
- [8] G. Schäfer, The gravitational quadrupole radiation-reaction force and the canonical formalism of ADM, Annals of Physics 161 (1985), 81-100.
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