Four Dimensional Elasticity and General Relativity

Details Four Dimensional Elasticity and General Relativity Four Dimensional Elasticity and General Relativity

1995-09-25

arxiv.org/abs/gr-qc/9509043v2

Grav.Cosmol. 1 (1995) 335-338

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages; LATEX, uses thmsa.sty now sent to enable PS conversion; to appear on Gravitation & Cosmology

Scientific paper

It has been shown that the extension of the elasticity theory in more than three dimensions allows a description of space-time as a properly stressed medium, even recovering the Minkowski metric in the case of uniaxial stress. The fundamental equation for the metric in the theory is shown to be the equilibrium equation for the medium. Examples of spherical and cylindrical symmetries in four dimensions are considered, evidencing convergencies and divergencies with the classical general relativity theory. Finally the possible meaning of the dynamics of the four dimensional elastic medium is discussed.

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