Anisotropic Power-law Inflation

TL;DR

This paper explores anisotropic power-law inflation within a supergravity framework, demonstrating that such inflationary solutions are attractors under broad conditions, with both the potential and gauge kinetic functions being exponential.

Contribution

It provides exact anisotropic power-law inflation solutions in supergravity models with exponential potential and gauge kinetic functions, showing their stability as attractors.

Findings

Anisotropic power-law inflation solutions are exact and analytically derived.

These solutions act as attractors for a wide parameter space.

The model uses exponential forms for potential and gauge kinetic functions.

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.