A new class of inflationary models, that generalizes the constant roll constraint

Abstract : Recently a class of inflationary models satisfying the constant rate of roll constraint, ̈φ+(3+α)H&dotphi;=0, has been studied and compared with the latest cosmological observational data. We consider the broader class of constraints  ̈φ+α1/2&dotphi;+α2 H&dotphi;=0 and find an exact particular solution, without initial singularity, which is an attractor of the dynamics governed by a positive periodic potential V(φ)=E+ F cos (Ω φ )+G cos (2 Ω φ ). The spectral index ns and the tensor to scalar ratio r are consistent with the recent observational data.
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Submitted on : Tuesday, October 16, 2018 - 10:34:05 PM
Last modification on : Thursday, November 14, 2019 - 12:02:35 PM

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B. Boisseau, H. Giacomini. A new class of inflationary models, that generalizes the constant roll constraint. JCAP, 2019, 10 (10), pp.054. ⟨10.1088/1475-7516/2019/10/054⟩. ⟨hal-01897134⟩

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