Global dynamics of Yang-Mills field and perfect-fluid Robertson-Walker cosmologies

Abstract

We apply a new global dynamical systems formulation to flat Robertson-Walker cosmologies with a massless and massive Yang-Mills field and a perfect-fluid with linear equation of state as the matter sources. This allows us to give proofs concerning the global dynamics of the models including asymptotic source-dominance towards the past and future time directions. For the pure massless Yang-Mills field, we also contextualize well-known explicit solutions in a global (compact) state space picture.

arXiv comment22 pages, 11 figures

References in corpus (10)

• Gauge Fields and Inflation
• On the Cosmology of Massive Vector Fields with SO(3) Global Symmetry
• On dynamical systems approaches and methods in $f(R)$ cosmology
• Chaos in the Einstein-Yang-Mills Equations
• Global dynamics and inflationary center manifold and slow-roll approximants
• Inflationary $\alpha$-attractor cosmology: A global dynamical systems perspective
• Cosmological Einstein-Yang-Mills equations
• Axially Symmetric Bianchi I Yang-Mills Cosmology as a Dynamical System
• Chaos of Yang-Mills Field in Class A Bianchi Spacetimes
• Cosmological Co-evolution of Yang-Mills Fields and Perfect Fluids

Cited by in corpus (8)

• Anisotropic Einstein Yang-Mills Higgs Dark Energy
• On the oscillations and future asymptotics of locally rotationally symmetric Bianchi type III cosmologies with a massive scalar field
• Time-averaging axion-like interacting scalar fields models
• Inflation Driven by Non-Linear Electrodynamics
• Averaging Generalized Scalar Field Cosmologies I: Locally Rotationally Symmetric Bianchi III and open Friedmann-Lemaître-Robertson-Walker models
• Averaging with a time-dependent perturbation parameter
• Averaging Generalized Scalar Field Cosmologies II: Locally Rotationally Symmetric Bianchi I and flat Friedmann-Lemaître-Robertson-Walker models
• Scalar field evolution at background and perturbation levels for a broad class of potentials