Nonminimal Inflation and the Running Spectral Index

Abstract

We study a class of models in which the inflaton is minimally coupled to gravity with a term $f(R)\vp^2$. We focus in particular on the case when $f\sim R^2$, the expansion of the scale factor is driven by the usual potential energy, while the rolling of the inflaton is driven by the nonminial coupling. We show that the power spectrum is in general blue, and the problem of getting a running spectral index is eased. However, the inflaton potential must have a large second derivative in order to get a large running.

arXiv comment9 pages, harvmac

References in corpus (6)

• Classical evolution and quantum generation in generalized gravity theories including string corrections and tachyon: Unified analyses
• Observational Constraints on Cosmic String Production During Brane Inflation
• CMB Power Spectrum from Noncommutative Spacetime
• Noncommutative Inflation and the CMB Multipoles
• Power Spectra in Spacetime Noncommutative Inflation
• Noncommutative chaotic inflation and WMAP three year results

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