2000/10/02 by Sergey S. Kokarev
Physics and Astronomy · #gr-qc
published as Nuovo Cim. B113 (1998) 1339-1350 · 12 pages, 3 TexCad figures, Latex2e
arxiv created 2000/10/02 · arxiv updated 2009/11/30
It is suggested, that a curved 4-dimensional space-time manifold is a strained elastic plate in multidimensional embedding space-time. Its thicknesses along extradimensions are much less than 4-dimensional sizes. Reduced 4-dimensional free energy density of the strained plate in a weak strain case is similar to GR Lagrangian density of a gravitational field for the particular value of the Poisson coefficient of the plate. Dynamical equations of the theory are obtained by variation of the multidimensional free energy over displacement vector components. In general case they are inhomogeneous bewave equations.