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Dynamical analysis of attractor behavior in constant roll inflation

2019/04/30 by Wei-Chen Lin, Michael J. P. Morse, Michael J.P. Morse +1 · 1 citation
Physics and Astronomy · #Attractor #Black Holes and Theoretical Physics #Constant (computer programming) #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #Generalization #Hubble's law #Inflation (cosmology) #Slow roll #Transient (computer programming) #astro-ph.CO #hep-th

paper · pdf · doi:10.1088/1475-7516/2019/09/063

V3: 23 pages, 17 figures. Section added. Accepted to JCAP for publication

openalex created_date 2019/04/25 · arxiv created 2019/09/11 · openalex publication_date 2019/09/27 · arxiv updated 2019/10/09 · openalex updated_date 2026/08/06

Abstract

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 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.

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