Accession Number:

AD0261030

Title:

GAUGE-INVARIANT VARIABLES IN GENERAL RELATIVITY

Descriptive Note:

Corporate Author:

SYRACUSE UNIV N Y

Personal Author(s):

Report Date:

1961-01-01

Pagination or Media Count:

16.0

Abstract:

Einsteins field equations for the gravitational field possess solutions having a large variety of topological properties among them there are solutions whose curvature goes asymptotically to zero at spatial infinity. If we restrict our elves to s lutions that are asymptotically Minkowskian, then it is tempting to try to divide the effects of curvilinear coordinate transformations into th se that correspond to a Lorentz transformation and those that represent gaugetype effects. The group-theoretical aspects of such schemes are analyzed. Making a definiteASSUMPTION CONCERNING THE GROUP OF CURVILINEAR TRANSFORMATIONS THAT WILL PRESERVE THE ASYMPTOTIC Minkowski character of the metric field, it is concluded that t e reduction to a Lorentz-covariant theory is in fact impossible. The course of the analysis suggests, ho ever, that this negative result depends on the initial group of transformations adopted it is conceivable that a slightly different invariance group would be compatible with a special-relativistic formulation of the heory. Author

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE