Abstract
We use the generalized Brans-Dicke theory, in which the Pauli metric is identified to be the physical space-time metric, to study the Universe in different epochs. Exact analytical expressions for dilaton field σ, cosmological radiusR and density parameter Ω are obtained fork=+1,0,−1 Universe in the radiation-dominated epoch. For matter dominated Epoch, exact analytical expressions for Hubble parameterH, cosmological radius, dilaton field, deceleration factorq, density parameter and the gravitational coupling of the ordinary matter are obtained for the flat Universe. Other important results are: (1) the density parameter Ω is always less than unity for the flat Universe because the dilaton field plays a role as an effective dark matter, and (2) the new Brans-Dicke parameter Ω must be larger than 31.75 in order to consistent with the observed data.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Guth, A.H.: 1981,Phys.Rev. D. 23, 347.
Guth, A.H. and Weinberg, E.J.: 1983,Nucl. Phys. B 212, 321.
Linde, A.D.: 1982,Phys. Letters B 108, 3891.
Albrecht, A. and Steinhardt, P.J.: 1982,Phys. Rev. Letters 48, 1220.
La, D. and Steinhardt, P.J.: 1989,Phys. Rev. Letters 63, 376.
Brans, C. and Dicke, R.H.: 1961,Phys. Rev. 24, 925.
Berkin, A.L. and Maeda, K.: 1991,Phys. Rev. D. 44, 1691.
Berkin, A.L., Maeda, K. and Yokoyama, J.: 1990,Phys. Rev. Letters 65, 141.
Holman, R., Kolb, E.W., Vadas, S.L. and Wang, Y.: 1991,Phys. Rev. D. 43, 3833.
Steinhardt, P.J. and Accetta, F.S.: 1990,Phys. Rev. Letters 64, 2240.
La, D., Steinhardt, P.J. and Bertschinger, E.W.: 1989,Phys Letters 231B, 231.
La, D.: 1991,Phys. Rev. D. 44, 1680.
Cho, Y.M.: 1992,Phys. Rev. Letters 68, 3133.
Jordan, P.: 1947,Ann. Phys. (Leipzig) 1, 218; Schwerkraft and Weltall (F. Vieweg and Sohn, Braunschweig, 1955); Thirry, Y.: 1948;C.R. Acad. Sci. 22, 216.
Pauli, W.: 1956, in: Schwerkraft and Weltall (see Ref. [9]); Fierz, M.: 1956,Helv. Phys. Acta 29, 128.
Weinberg, S.: 1972, Gravitation and Cosmology (Wiley, New York), especially Sec. 16.4.
Coleman, S. and Weinberg, E.J.: 1973,Phys. Rev. D. 7, 1888.
La, D. and Steinhardt, P.J.: 1989,Phys. Rev. Letters 63, 376.
Cho, Y.M.: 1990,Phys. Rev. D,41, 2462.
Weinberg, E.J.: 1989,Phys. Rev. D 40, 3950.
Hellings, R.W., Adams, P.J.,et al.: 1983,Phys. Rev. Letters 51, 1609.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lu, H.Q., Cheng, K.S. The cosmological model of Brans-Dicke theory. Astrophys Space Sci 235, 207–218 (1996). https://doi.org/10.1007/BF00644441
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00644441