On Sakharov's theory of gravitation.

Mathematics – Logic

Scientific paper

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Cosmology:Gravitational Constant, Gravitation Theory, Gravitational Constant: Variations

Scientific paper

The Sakharov theory of gravitation is examined from the viewpoint of the analogy between gravitation and elasticity. It is found that, by using the Cattaneo-Zel'manov projection technique, the deformation tensor connected with the gravitational field can be considered the deformation tensor of a suitable elastic medium. By supposing that transversal waves propagate in this medium with velocityc, one can find an explicit expression for the time dependence of the gravitational constant. Some applications of cosmological interest are briefly discussed.

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