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VOLUME 20 | ISSUE 3 | PAGE 189
Scalar-tensor theory of gravitation
It is noted that the hypothesis previously advanced by the author, that the Lagrangian of the gravitational field is zero, leads in principle to the impossibility of observing the scalar field of the scalar-tensor gravitation theory, which thus goes over into Einstein's pure-tensor theory. This conclusion is the result of the special form of the dependence of the gravitational constant on the scalar field, G =μ~2 (μ is the scalar field, and the particle masses are proportional to μ). It is also shown that at any other dependence of G on μ, e.g., at G =const, the scalar-tensor theory leads to violations of the principle of equivalence of the inertial and gravitational masses.