The post-Minkowskian iteration method and the structure of radiative gravitational fields

Details The post-Minkowskian iteration method and the structure of radiative gravitational fields The post-Minkowskian iteration method and the structure of radiative gravitational fields

Mar 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984crasb.298..431b&link_type=abstract

Academie des Sciences (Paris), Comptes Rendus, Serie II Mecanique, Physique, Chimie, Sciences de l'Univers, Sciences de la Terre

Physics

6

Einstein Equations, Field Theory (Physics), Gravitation Theory, Iterative Solution, Relativistic Theory, Infinity, Power Series, Space-Time Functions

Scientific paper

The application of post-Minkowskian iteration approximation methods in general relativity is investigated analytically, and an algorithm is constructed which can be iterated at any order, defining a formal series in G, the solution to the Einstein vacuum-field equations outside the time axis of the harmonic-coordinate system. Each term of this series is then examined as a function of r and of the speed of light. The approach used combines the multipolar development scheme of Thorne (1980) with a new analytical prolongation technique distinct from that used by Damour (1983). Starting point is a finite set of one-variable C(infinity) functions which are constant in the neighborhood of negative infinity.

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