Initial Conditions for Vector Inflation

TL;DR

This paper investigates how the initial conditions for vector inflation are affected by the universe's curvature, revealing that curvature can reduce the likelihood of inflationary solutions compared to scalar field models.

Contribution

It analyzes the impact of non-zero curvature on vector inflation, highlighting differences from scalar field inflation and identifying conditions for successful inflation.

Findings

Curvature influences the initial conditions for vector inflation.

The fraction of initial conditions leading to inflation decreases with curvature.

Vector inflation dynamics differ from chaotic scalar inflation in curved universes.

Abstract

Recently, a model of inflation using non-minimally coupled massive vector fields has been proposed. For a particular choice of non-minimal coupling parameter and for a flat FRW model, the model is reduced to the model of chaotic inflation with massive scalar field. We study the effect of non-zero curvature of the universe on the onset of vector inflation. We find that in a curved universe the dynamics of vector inflation can be different from chaotic inflation, and the fraction of the initial conditions leading to inflationary solutions is reduced compared with the chaotic inflation case.