Inflation with a massive vector field nonminimally coupled to gravity

TL;DR

This paper explores how a massive vector field with nonminimal gravitational coupling can drive exponential inflation, analyzing its dynamics and stability through the theory of dynamical systems.

Contribution

It introduces a novel inflationary model driven by a nonminimally coupled massive vector field with SO(3) symmetry and analyzes its inflationary solutions.

Findings

Identifies exponential inflationary regimes in the model

Uses dynamical systems methods to analyze stability

Demonstrates viability of vector field-driven inflation

Abstract

We study the possibility that inflation is driven by a massive vector field with SO(3) global symmetry nonminimally coupled to gravity. From an E^3-invariant Robertson-Walker metric we propose an Ansatz for the vector field, allowing us to study the evolution of the system. We study the behaviour of the equations of motion using the methods of the theory of dynamical systems and find exponential inflationary regimes.