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arXiv · astro-ph/9501086

Generalised Scalar Field Potentials and Inflation

Paul Parsons·John D. Barrow
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Abstract

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.

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Paul Parsons, John D. Barrow. 1995-01-23. Generalised Scalar Field Potentials and Inflation. https://doi.org/10.1103/physrevd.51.6757

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