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Slow roll in simple non-canonical inflation

AuthorsBarenboim, Gabriela ; Kinney, William H.
Physics of the early universe
Cosmological perturbation theory
Issue Date15-Mar-2007
PublisherInternational School for Advanced Studies
Institute of Physics Publishing
CitationJournal of Cosmology and Astroparticle Physics 3: 014 (2007)
AbstractWe consider inflation using a class of non-canonical Lagrangians for which the modification to the kinetic term depends on the field, but not its derivatives. We generalize the standard Hubble slow roll expansion to the non-canonical case and derive expressions for observables in terms of the generalized slow roll parameters. We apply the general results to the illustrative case of 'slinky' inflation, which has a simple, exactly solvable, non-canonical representation. However, when transformed into a canonical basis, slinky inflation consists of a field oscillating on a multi-valued potential. We calculate the power spectrum of curvature perturbations for slinky inflation directly in the non-canonical basis, and show that the spectrum is approximately a power law on large scales, with a 'blue' power spectrum. On small scales, the power spectrum exhibits strong oscillatory behaviour. This is an example of a model in which the widely used solution of Garriga and Mukhanov gives the wrong answer for the power spectrum.
Description17 pages, 4 figures.-- ISI Article Identifier: 000245945000008.-- ArXiv pre-print available at: http://arxiv.org/abs/astro-ph/0701343
Publisher version (URL)http://dx.doi.org/10.1088/1475-7516/2007/03/014
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