Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1998-02-17
Phys.Rev. D57 (1998) 6065-6074
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
22 pages, 12 figures, Self-consistent Latex2e File. To be published in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.57.6065
We study the Einstein-Klein-Gordon equations for a convex positive potential in a Bianchi I, a Bianchi III and a Kantowski-Sachs universe. After analysing the inherent properties of the system of differential equations, the study of the asymptotic behaviors of the solutions and their stability is done for an exponential potential. The results are compared with those of Burd and Barrow. In contrast with their results, we show that for the BI case isotropy can be reached without inflation and we find new critical points which lead to new exact solutions. On the other hand we recover the result of Burd and Barrow that if inflation occurs then isotropy is always reached. The numerical integration is also done and all the asymptotical behaviors are confirmed.
Byland Samuel
Scialom David
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