Causes and cures for the infinities in slow-motion expansions in general relativity

Details Causes and cures for the infinities in slow-motion expansions in general relativity Causes and cures for the infinities in slow-motion expansions in general relativity

Aug 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980gregr..12..633a&link_type=abstract

General Relativity and Gravitation, vol. 12, Aug. 1980, p. 633-647.

Physics

7

Celestial Mechanics, Equations Of Motion, Field Theory (Physics), Gravitation Theory, Relativity, Asymptotic Methods, Boundary Value Problems, Nonlinear Equations, Perturbation Theory, Relativistic Effects

Scientific paper

The causes of the divergent integrals arising in slow-motion expansions of the general relativistic field equations are studied and a remedy for them is suggested. This is done within the context of a model problem involving a coupled nonlinear scalar field and isotropic oscillator. The model is shown to give rise to divergent integrals directly attributable to the nonlinearity when the field is assumed to be analytic in a slowness parameter. Application of a nonregular perturbation approach which includes the method of matched asymptotic expansions is shown to eliminate the infinite contributions.

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