Brane-world inflation: slow-roll corrections to the spectral index

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Abstract

We quantify the slow-roll corrections to primordial density perturbations arising from inflation driven by a four-dimensional scalar field with a monomial potential in a five-dimensional non-compact bulk spacetime. Although the difference between the classical brane-world solutions and standard four-dimensional solutions is large at early times, the change to the amplitude at late times of perturbations generated from quantum fluctuations is first-order in slow-roll parameters, leading to second-order slow-roll corrections to the spectral index. This confirms that the leading-order effects are correctly given by previous work in the literature.
Original languageEnglish
Pages (from-to)021501
Number of pages1
JournalPhysical Review D
Volume77
Issue number2
DOIs
Publication statusPublished - 11 Jan 2008

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