Dynamical analysis of attractor behavior in constant roll inflation
Dynamical analysis of attractor behavior in constant roll inflation
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DOI：
10.1088/1475-7516/2019/09/063
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发表时间：
2019-04
影响因子：
6.4
通讯作者：
Wei-Chen Lin;Michael J. P. Morse;W. Kinney
中科院分区：
文献类型：
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作者：
Wei-Chen Lin;Michael J. P. Morse;W. Kinney
最近，人们对一类新的非慢滚动通货膨胀解产生了相当大的兴趣，这种解被称为常滚动通货膨胀。恒滚解是超慢滚（USR）解的推广，其中第一个哈勃慢滚参数λ很小，但第二个哈勃慢滚参数η却不大。虽然已知USR解表示动态瞬态，但关于大η常数滚动解是否是吸引子或也是一类瞬态解，文献中存在一些分歧。本文通过对精确解析（大η）恒辊解的稳定性分析，证明了大η恒辊解实际上是瞬态解。
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.