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EXACT INFLATIONARY SOLUTIONS

We present a new class of exact inflationary solutions for the evolution of a universe with spatial curvature, filled with a perfect fluid, a scalar field with potential V±(ϕ) = λ(ϕ2 ± δ2)2 and a cosmological constant Λ. With the V+(ϕ) potential and a negative cosmological constant, the scale factor experiments a graceful exit. We give a brief discussion about the physical meaning of the solutions.