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Consistency equation hierarchy in single-field inflation models

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posted on 2023-06-08, 06:40 authored by Marina Cortês, Andrew R Liddle
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).

History

Publication status

  • Published

File Version

  • Published version

Journal

Physical Review D

ISSN

0556-2821

Issue

8

Volume

73

Page range

0835231-0835235

Department affiliated with

  • Physics and Astronomy Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

First Open Access (FOA) Date

2016-03-22

First Compliant Deposit (FCD) Date

2016-11-16

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