Variation of the gravitational constant, G, and the age of the sun in the Brans-Dicke cosmology

Mathematics – Logic

Scientific paper

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Cosmology, Gravitational Constant, Stellar Evolution, Sun, Stellar Models, Sunspots

Scientific paper

The present position of the sun in the H-R diagram is compared with isochrones of three and five billion years, and with M = 1 solar mass models in order to derive a value for the rate of decrease in the gravitational constant G over time according to the Brans-Dicke (1961) cosmological theory with omega = 2. Through a series of calculations it is shown that since the sun cannot be as young as 5 x 10 to the 9th years, the Brans-Dicke model does not apply, at least for such small values of omega. It is demonstrated that the gravitational constant G decreases at a rate of less than G dot/G = -2 x 10 to the -11th per year if the mass of the model remains constant.

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