On a Canonical Treatment of the Einstein Equations in an Expanding Universe ---Isotropic Coordinate Conditions---

Physics

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Scientific paper

A cosmological version of Arnowitt, Deser and Misner's second coordinate conditions in their canonical treatment of general relativity is proposed in such a way that it is compatible with the effect of cosmic expansion. In terms of these coodinate conditions, Nariai and Kimura's canonical fomalism of the cosmological gravitational field is refined so as to be appropriate in various isotropic problems. It is shown that the refined formalism is suitable to deal with the problem of a spherically symmetric matter-distribution in the universe.

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