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Anisotropic Power-law Inflation

Sugumi Kanno, Jiro Soda, Masa-aki Watanabe

Abstract

We study an inflationary scenario in supergravity model with a gauge kinetic function. We find exact anisotropic power-law inflationary solutions when both the potential function for an inflaton and the gauge kinetic function are exponential type. The dynamical system analysis tells us that the anisotropic power-law inflation is an attractor for a large parameter region.

Anisotropic Power-law Inflation

Abstract

We study an inflationary scenario in supergravity model with a gauge kinetic function. We find exact anisotropic power-law inflationary solutions when both the potential function for an inflaton and the gauge kinetic function are exponential type. The dynamical system analysis tells us that the anisotropic power-law inflation is an attractor for a large parameter region.

Paper Structure

This paper contains 4 sections, 46 equations, 1 figure.

Table of Contents

  1. Introduction
  2. Exact Anisotropic Inflationary Solutions
  3. Stability of Anisotropic Inflation
  4. Conclusion

Figures (1)

  • Figure 1: The phase flow in $X$-$Y$-$Z$ space is depicted for $\lambda = 0.1, \rho=50$. The yellow and orange circles indicate the anisotropic and isotropic fixed points respectively. The trajectories converge to the anisotropic fixed point.