Generalised Scalar Field Potentials and Inflation

preprint1995arXivOpen access

Abstract

We investigate the range of inflationary universe models driven by scalar fields possessing a general interaction potential of the form V(ϕ)=V0ϕnexp⁡(−λϕm)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 ϕϕ we derive sufficient constraints on the mm - nn 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.

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