Abstract
A special case of the general scalar-tensor theory of gravity is proposed where the Newtonian gravitational constant G does not vary with time. This implies that ..omega..= (4-3phi)/(2phi-2) and the Nordtvedt parameter eta=4..beta..-..gamma..-3=0. The resulting cosmological equations are discussed and shown to be consistent with any assumed values for Hubble's constant, the deceleration parameter, and the mean mass density of the universe. An analytic solution for an empty universe with k=0 has been found. For this solution the universe expands from infinite density, while ..omega.. goes from -3/2 to infinity to 0, and then contracts back to infinite density, while ..omega.. goes from 0 to-3/2, all in a finite time. Thus, the possibility exists that the true theory of gravitation is a scalar-tensor theory, similar to general relativity in its effects at the present epoch, but very different from general relativity in the distant past and in the distant future.
Published Version
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