6–8 May 2019
University of Pittsburgh
US/Eastern timezone

Dynamical Analysis of Attractor Behavior in Constant Roll Inflation

6 May 2019, 17:45
15m
205 (Lawrence Hall)

205

Lawrence Hall

parallel talk Cosmology

Speaker

Michael Morse (Univ. at Buffalo, SUNY)

Description

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 $\epsilon$ is small, but the second Hubble slow roll parameter $\eta$ 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-$\eta$ constant roll solutions are attractors or are also a class of transient solutions. In this paper we show that the large-$\eta$ constant roll solutions do in fact represent transient solutions by performing stability analysis on the exact analytic (large-$\eta$) constant roll solutions.

Authors

Michael Morse (Univ. at Buffalo, SUNY) Mr Wei-Chen Lin (University at Buffalo) William Kinney (Univ. at Buffalo, SUNY)

Presentation materials