Dynamical Systems Treatment of Scalar Field Cosmologies.pdfVIP

gr-qc/9410039 UCSBTH-nn-nn Dynamical Systems Treatment of Scalar Field Cosmologies Shawn J. Kolitch kolitch@ Department of Physics University of California Santa Barbara, CA 93106-9530 4 9 9 1 Brett Hall t brett@ c O Department of Physics University of California 8 2 Santa Barbara, CA 93106-9530 (October , 1994) 1 v 9 3 0 Abstract 0 1 4 9 The conformal equivalence of some cosmological models in Brans-Dicke the- / ory to general relativistic cosmologies with a scalar field is discussed. In the c q case of radiation-dominated universes, it is shown that the presence of the - r scalar field has a negligible impact upon the evolution of the models in the g : Einstein frame. It is also shown that power-law inflation in general relativity, v i which is conformal to “extended” power-law inflation in Brans-Dicke theory, X is not a unique attractor for expanding closed universes, but rather that the r a occurence of inflation depends upon the initial kinetic energy of the scalar field. 04.50.+h, 98.80.Hw, 02.30.Hq Typeset