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Generalised Scalar Field Potentials and Inflation

We investigate the range of inflationary universe models driven by scalar fields possessing a general interaction potential of the form $V(ϕ) = V_0 ϕ^n \exp(-λϕ^m)$. Power-law, de Sitter and intermediate inflationary universes emerge as special cases together with several new varieties of inflation. Analysing the behaviour of these models at the extrema of $ϕ$ we derive sufficient constraints on the $m$ - $n$ parameter space such that inflation may occur as both an early and late-time phenomenon. We also compute the scalar and tensor perturbations produced in the model and compare these results with recent observations.

preprint1995arXivOpen access
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