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

Oliveros, A.; Noriega, Hernán E.

doi:10.1142/S0218271819501591

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

Jul 24, 2019

14 pages

Published in:

Int.J.Mod.Phys.D 28 (2019) 12, 1950159

Published: Aug 13, 2019

e-Print:

1907.10694 [gr-qc]

DOI:

10.1142/S0218271819501591

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Abstract: (WSP)

In this work, we study constant-roll inflation driven by a scalar field with nonminimal derivative coupling to gravity, via the Einstein tensor. This model contains a free parameter, η, which quantifies the nonminimal derivative coupling and a parameter α which characterizes 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.

Note:

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

98.80.Cq
98.80.−k
04.50.Kd
Inflation
scalar field
constant-roll
coupling: derivative
field theory: scalar
phase space: analysis
inflaton: potential

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