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Slow roll in simple non-canonical inflation | | Gabriela Barenboim
; William H. Kinney
; | | Date: |
11 Jan 2007 | | Abstract: | We 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 behavior. | | Source: | arXiv, astro-ph/0701343 | | Services: | Forum | Review | PDF | Favorites | |
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