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arXiv · 1907.10694

Constant-roll inflation driven by a scalar field with non-minimal derivative coupling

A. Oliveros·Hernán E. Noriega
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Abstract

In this work, we study constant-roll inflation driven by a scalar field with non-minimal derivative coupling to gravity, via the Einstein tensor. This model contains a free parameter, $η$, which quantifies the non-minimal derivative coupling and a parameter $α$ which characterize the constant-roll condition. In this scenario, using the Hamilton-Jacobi-like formalism, an ansatz for the Hubble parameter (as a function of the scalar field) and some restrictions on the model parameters, we found new exact solutions for the inflaton potential which include power-law, de Sitter, quadratic hilltop and natural inflation, among others. Additionally, a phase space analysis was performed and it is shown that the exact solutions associated to natural inflation and a "$\cosh$-type" potential, are attractors.

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A. Oliveros, Hernán E. Noriega. 2019-07-24. Constant-roll inflation driven by a scalar field with non-minimal derivative coupling. https://doi.org/10.1142/s0218271819501591

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