Generalised Scalar Field Potentials and Inflation

Abstract

We investigate the range of inflationary universe models driven by scalar fields possessing a general interaction potential of the form $V(\varphi )=V_0{\varphi }^n\exp (-\lambda {\varphi }^m)$. 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 $\varphi$ 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.

19 Pages, LATEX.

References in corpus (6)

• The Cold Dark Matter Density Perturbation
• Formalising the Slow-Roll Approximation in Inflation
• A more accurate analytic calculation of the spectrum of cosmological perturbations produced during inflation
• Perturbation Spectra from Intermediate Inflation
• On Determining the Spectrum of Primordial Inhomogeneity from the COBE DMR Sky Maps: II. Results of Two Year Data Analysis
• The Inflationary Energy Scale

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