Consistency equation hierarchy in single-field inflation models

Cortês, Marina and Liddle, Andrew R (2006) Consistency equation hierarchy in single-field inflation models. Physical Review D, 73 (8). 0835231-0835235. ISSN 0556-2821

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Inflationary consistency equations relate the scalar and tensor perturbations. We elucidate the infinite hierarchy of consistency equations of single-field inflation, the first of which is the well-known relation A2T/A2S=−nT/2 between the amplitudes and the tensor spectral index. We write a general expression for all consistency equations both to first and second order in the slow-roll expansion. We discuss the relation to other consistency equations that have appeared in the literature, demonstrating in particular that the approximate consistency equation recently introduced by Chung and collaborators is equivalent to the second consistency equation of Lidsey et al. (1997).

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Depositing User: Marina Cortes
Date Deposited: 06 Feb 2012 20:32
Last Modified: 06 Aug 2019 12:38

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