Constraints in the Context of Induced-gravity Inflation

Abstract

Constraints on the required flatness of the scalar potential $V(\varphi )$ for a cousin-model to extended inflation are studied. It is shown that, unlike earlier results, Induced-gravity Inflation can lead to successful inflation with a very simple lagrangian and $\lambda \sim 10^{-6}$, rather than $10^{-15}$ as previously reported. A second order phase transition further enables this model to escape the \lq big bubble' problem of extended inflation, while retaining the latter's motivations based on the low-energy effective lagrangians of supergravity, superstring, and Kaluza-Klein theories.

19 pp; 3 figures (not included -- available from author). Plain LaTeX. In press in Physical Review D

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• Comoving curvature perturbation in Jordan and Einstein frames
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• Generalized Slow-roll Inflation in Non-minimally Coupled Theories
• Gravitational relaxation of electroweak hierarchy problem
• Global portraits of nonminimal inflation
• Inflation and Linear Expansion in the Radiation Dominated era in Jordan-Brans-Dicke Cosmology