Abstract
Isotropic and homogeneous cosmological models with a perfect fluid cource in Brans-Dicke theory are investigated from the point of view of dynamical system theory.
Similar content being viewed by others
References
Andronov, A. A., Leontovich, E. A., Gordon, I. I., and Maier, A. G.: 1973,Qualitative Theory of Second Order Dynamic Systems, John Wiley & Sons, New York.
Brans, C. H. and Dicke, R. H.: 1961,Phys. Rev. 124, 925.
Chen, C. and Stothers, R.: 1976,Phys. Rev. Letters 36, 833.
Dicke, R. H.: 1962,Phys. Rev. 125, 2163.
Freund, P. G. O.: 1982,Nucl. Phys. B209, 146.
Golda, Z. A., Szydlowski, M., and Heller, M.: 1987,Gen. Rel. Grav. 19, 707.
Hawking, S. and Ellis, G. F. R.: 1973,The Large Scale Structure of Spacetime, Cambridge University Press, Cambridge.
Jordan, P.: 1955,Schwerkraft und Weltall, Vieweg, Braunschweig.
Lord, E. A.: 1976,Tensors, Relativity and Cosmology, Tata McGraw-Hill, New Delhi.
Mansfield, V. N.: 1976,Nature, London 261, 560.
Mathiazhagan, C. and Johri, V. B.: 1984,Class. Quant. Grav. 1(2), L29.
Narlikar, J. V.: 1978,Lectures on General Relativity and Cosmology, MacMillan, London.
O'Hanlon, J. and Tupper, B. J.: 1972,Nuovo Cimento B7, 305.
Raychaudhuri, A. K.: 1979,Theoretical Cosmology, Clarendon Press, Oxford.
Romero, C. and Oliveira, H. P.: 1989,Brans-Dicke Solutions: a Dynamical System Approch (to be published).
Sansoni, G. and Conti, R.: 1964,Non-Linear Differential Equations, Pergamon Press, Oxford.
Shapiro, I. I., Counselman, C. C. and King, R. W.: 1976,Phys. Rev. Letters 36, 555.
Shapiro, I. I., Smith, W. B., Ingalls, R. P., and Pettengill, G. H.: 1971,Phys. Rev. Letters 26, 27.
Will, C.: 1981,Theory and Experiment in Gravitational Physics, Cambridge University Press, Cambridge.
Author information
Authors and Affiliations
Additional information
Work partially supported by CNPq (Brazil).
Rights and permissions
About this article
Cite this article
Romero, C., Oliveira, H.P. & De Mello Neto, J.R.T. Qualitative analysis of cosmological models in Brans-Dicke theory. Astrophys Space Sci 158, 229–257 (1989). https://doi.org/10.1007/BF00639727
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00639727