Titre du document

Theory of gravitational perturbations in the fast motion approximation

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Nom du Corpus

AstroConcepts

Auteur(s)
  • B Bertotti 1
  • J Plebanski 1
Affiliation(s)
  • Institute for Advanced Study, Princeton, New Jersey, USA
Résumé

The Green's function method, classical for a linear wave equation, is generalized to a nonlinear field theory and, specifically, to general relativity. The general structure of a Lorentz-invariant perturbation expansion in terms of the gravitational constant is studied. It is found that the nth order contribution can be expressed with the help of a set of generalized Green's functions, depending on n events on the “sources” and the event at which the field is wanted. The ‘sources” include not only the ordinary matter, but also the initial conditions which are prescribed to the metric field to determine it uniquely. The generalized Green's functions are studied with the help of a graphical representation which makes clear how the nonlinearity of the equations affects the propagation of grativational action. Its “scattering” by the sources and by the field itself produces the result that every event inside the light cone may contribute to the force on a particle at its vertex; the equations of motion have therefore an integro-differential structure. The general formalism is applied to the second approximation; the equations of motion, with an accuracy up to the second order, and the relevant generalized Green's function are computed.

Langue(s) du document
Anglais
Année de publication
1960
Revue

Annals of Physics

Éditeur
Elsevier
Type de publication
journal
Type de document
research-article
Présence de XML structuré
Non
Version de PDF
1.3
Score de qualité du texte
9.364
Nom du concept
  • Post Newtonian approximation
Catégories Science-Metrix
  • 1 - natural sciences ; 2 - physics & astronomy ; 3 - nuclear & particles physics
Catégories Inist
  • 1 - sciences appliquees, technologies et medecines ; 2 - sciences exactes et technologie ; 3 - terre, ocean, espace ; 4 - geophysique externe
Catégories Scopus
  • 1 - Physical Sciences ; 2 - Physics and Astronomy ; 3 - General Physics and Astronomy
Catégories WoS
  • 1 - science ; 2 - physics, multidisciplinary
Identifiant ISTEX
22929CE5816309B69E0DD581E367F401366CEDC2
ark:/67375/6H6-MWHKV0PP-0
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