Space-time Averages of Classical Physical Fields
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.gr-qc/0411004,
title = {Space-time Averages of Classical Physical Fields},
author = {Roustam Zalaletdinov},
journal= {arXiv preprint arXiv:gr-qc/0411004},
year = {2007}
}
Comments
28 pages, LaTeX