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Space-time Averages of Classical Physical Fields

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arxiv gr-qc/0411004 v1 pith:PU2UJOKW submitted 2004-10-29 gr-qc

Roustam Zalaletdinov (Dalhousie University , Halifax , Institute of Nuclear Physics , Tashkent) This is my paper · ORCID
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keywords space-timeaveragingpropertiesalgebraicaveragesclassicaldifferentialfields
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A review on the main results concerning the algebraic and differential properties of the averaging and coordination operators and the properties of the space-time averages of macroscopic gravity is given. The algebraic and differential properties of the covariant space-time averaging procedure by means of using the parallel transportation averaging bivector operator are analyzed. The structure of the pseudo-Riemannian space-time manifolds of general relativity averaged by means of this procedure is discussed. A comparison of both procedures is given and the directions of further development of space-time averaging procedures of the physical classical fields are outlined.

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Cited by 4 Pith papers

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