,An Exact Solution with Exit in the New Inflationary Universe Model

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Taking the cosmological expansion rate directly as a function of the infiaton field ψ instead of as a function of time, we present a new exact solution to Einsteins equations that describe the evolution of the inflationary universe model. This includes a solution which has nearly exponential inflation for ψo ≤ψ≤ ψf, and then develops smoothly towards radiation-like evolution for ψ ≥ ψf. The inflation is driven by the evolution of a scalar field with an inflation potential, V (ψ) = Vo - m2ψ2/2 + λψ4/4. The spectral index of the scalar density, ns, is computed and ns lies well inside the limits set by the cosmic background explorer satellite.
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