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Exact scalar field cosmologies. (English) Zbl 0722.53080
The dynamics of a Robertson-Walker universe containing a classical scalar field plus non-interacting radiation is examined. The dynamics of simple inflationary universe models is included. It is shown how a potential function for the scalar field can be found. The focus of the paper is the step of determining the required potential, given a desirable behaviour of the universe.

MSC:
53C80 Applications of global differential geometry to the sciences
83F05 Relativistic cosmology
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