Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1994-09-01
Annals Phys. 246 (1996) 121-132
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Paper has been shortened and discussion clarified. The stability analysis is now presented in tabular form. Some references ad
Scientific paper
10.1006/aphy.1996.0022
Solutions to flat space Friedmann-Robertson-Walker cosmologies in Brans-Dicke theory with a cosmological constant are investigated. The matter is modelled as a $\gamma$-law perfect fluid. The field equations are reduced from fourth order to second order through a change of variables, and the resulting two-dimensional system is analyzed using dynamical system theory. When the Brans-Dicke coupling constant is positive $(\omega > 0)$, all initially expanding models approach exponential expansion at late times, regardless of the type of matter present. If $\omega < 0$, then a wide variety of qualitatively distinct models are present, including nonsingular ``bounce'' universes, ``vacillating'' universes and, in the special case of $\omega = -1$, models which approach stable Minkowski spacetime with an exponentially increasing scalar field at late times. Since power-law solutions do not exist, none of the models appear to offer any advantage over the standard deSitter solution of general relativity in achieving a graceful exit from inflation.
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