Dynamical analysis of attractor behavior in constant roll inflation

There has been considerable recent interest in a new class of non-slow roll inflationary solutions known as constant roll inflation. Constant roll solutions are a generalization of the ultra-slow roll (USR) solution, where the first Hubble slow roll parameter ε is small, but the second Hubble slow r...

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Bibliographic Details
Published inJournal of cosmology and astroparticle physics Vol. 2019; no. 9; p. 63
Main Authors Lin, Wei-Chen, Morse, Michael J.P., Kinney, William H.
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 27.09.2019
Subjects
cosmological parameters from CMBR
cosmological perturbation theory
inflation
Mathematical analysis
Parameters
Stability analysis
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Summary:There has been considerable recent interest in a new class of non-slow roll inflationary solutions known as constant roll inflation. Constant roll solutions are a generalization of the ultra-slow roll (USR) solution, where the first Hubble slow roll parameter ε is small, but the second Hubble slow roll parameter η is not. While it is known that the USR solutions represent dynamical transients, there has been some disagreement in literature about whether or not large-η constant roll solutions are attractors or are also a class of transient solutions. In this paper we show that the large-η constant roll solutions do in fact represent transient solutions by performing stability analysis on the exact analytic (large-η) constant roll solutions.
ISSN:1475-7516
1475-7516
DOI:10.1088/1475-7516/2019/09/063