Abstract

We study constant-roll inflation in the presence of a gauge field coupled to an inflaton. By imposing the constant anisotropy condition, we find new exact anisotropic constant-roll inflationary solutions which include anisotropic power-law inflation as a special case. We also numerically show that the new anisotropic solutions are attractors in the phase space.

Highlights

  • It is widely believed that the accelerated expansion of the universe in the early universe explains cosmological observations such as the large scale structure of the universe and the temperature anisotropy of the cosmic microwave background radiation

  • Constant-roll inflation characterized by a constant-roll condition, φ H φ const., instead of the slowroll conditions has been discussed

  • We study constant-roll inflationary models in the presence of a gauge field coupled to an inflaton

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Summary

Introduction

It is widely believed that the accelerated expansion of the universe in the early universe explains cosmological observations such as the large scale structure of the universe and the temperature anisotropy of the cosmic microwave background radiation. Such a rapid expansion is called inflation [1–4]; it is driven by an inflaton field φ. Under the constant-roll condition, one can solve equations exactly [5]. The generalization of the constant-roll condition to f (R) gravity has been presented [9,11]. 3, we study the constant-roll condition in anisotropic inflation.

Inflation with a gauge field
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Anisotropic constant-roll inflation
Specific examples
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Phase space dynamics
Summary
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Full Text
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