Exact cosmological solutions in Brans and Dicke's scalar-tensor theory,I |
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| Authors: | H Dehnen O Obregón |
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| Institution: | (1) Lehrstuhl für Theoretische Physik der Universität Konstanz, Konstanz, GFR;(2) Present address: Consejo Nacional de Ciencia y Tecnología, Insurgentes sur No. 1677, 20 México, D.F. |
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| Abstract: | The exact solution is sought for the cosmological equations of Brans and Dicke's scalar-tensor theory when a power law exists between the gravitational constant and the radius of curvature of the universe. For the space of negative curvature no solution is possible. On the contrary for a closed space the gravitational constant and the radius of curvature increase linearly with respect to the age of the universe. The parameter  of the scalar-tensor theory is necessarily negative and can be determined by the present values of the mass-density of the universe, the Hubble-constant and the gravitational constant. The solution has no analogy in Einstein's theory with vanishing cosmological constant, even when the deviations from Einstein's values of the solar relativistic effects are small. |
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