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

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, $\eta$, which quantifies the non-minimal derivative coupling and a parameter $\alpha$ 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.

15 pages, 6 figures, accepted for publication in Int. J. Mod. Phys. D

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Cited by in corpus (4)

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• Nonminimal coupling inflation with constant slow roll
• Gauss-Bonnet inflation with a constant rate of roll
• Constant-roll inflation with non-minimally derivative coupling