Anisotropic inflation in Gauss-Bonnet gravity

TL;DR

This paper investigates anisotropic inflation within Gauss-Bonnet gravity, demonstrating that quadratic curvature corrections can enhance anisotropy, which remains stable over a broad parameter space.

Contribution

It provides exact anisotropic power-law inflation solutions incorporating Gauss-Bonnet corrections and analyzes their stability.

Findings

Anisotropy is proportional to slow-roll parameters.

Gauss-Bonnet corrections enhance anisotropy.

Stable anisotropic solutions exist over large parameter regions.

Abstract

We study anisotropic inflation with Gauss-Bonnet correction in presence of a massless vector field. In this scenario, exact anisotropic power-law inflation is realized when the inflaton potential, gauge coupling function and the Gauss-Bonnet coupling are exponential functions. We show that anisotropy becomes proportional to two slow-roll parameters of the theory and hence gets enhanced in presence of quadratic curvature corrections. The stability analysis reveals that anisotropic power-law solutions remain stable over a substantially large parameter region.