Space-time Averages of Classical Physical Fields

Halifax; Institute of Nuclear Physics; Roustam Zalaletdinov (Dalhousie University; Tashkent)

arxiv: gr-qc/0411004 · v1 · submitted 2004-10-29 · 🌀 gr-qc

Space-time Averages of Classical Physical Fields

Roustam Zalaletdinov (Dalhousie University , Halifax , Institute of Nuclear Physics , Tashkent) This is my paper

classification 🌀 gr-qc

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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