Mechanics of Continuous Media in $(\bar{L}_n,g)$-spaces. I. Introduction and mathematical tools

Details Mechanics of Continuous Media in $(\bar{L}_n,g)$-spaces. I. Introduction and mathematical tools Mechanics of Continuous Media in $(\bar{L}_n,g)$-spaces. I. Introduction and mathematical tools

2002-03-05

arxiv.org/abs/gr-qc/0203016v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

34 pages, LaTeX

Scientific paper

Basic notions and mathematical tools in continuum media mechanics are recalled. The notion of exponent of a covariant differential operator is introduced and on its basis the geometrical interpretation of the curvature and the torsion in $(\bar{L}_n,g)$-spaces is considered. The Hodge (star) operator is generalized for $(\bar{L}_n,g)$-spaces. The kinematic characteristics of a flow are outline in brief. PACS numbers: 11.10.-z; 11.10.Ef; 7.10.+g; 47.75.+f; 47.90.+a; 83.10.Bb

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