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

DOI10.1063/1.5139879zbMath1441.83005arXiv1910.04678OpenAlexW3101088283MaRDI QIDQ5110774

Filipe C. Mena, Artur Alho, Vitor Bessa

Publication date: 22 May 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.04678

zbMATH Keywords

dynamical systemscoupling constantscosmologyEinstein field equationsgeneral relativityequations of statevector fieldsmetric geometryfundamental constantscovariant formulations

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10) Einstein equations (35Q76)

Related Items (5)

Anisotropic Einstein Yang-Mills Higgs dark energy ⋮ A perturbative analysis of interacting scalar field cosmologies ⋮ Scalar Field Evolution at Background and Perturbation Levels for a Broad Class of Potentials ⋮ On the oscillations and future asymptotics of locally rotationally symmetric Bianchi type III cosmologies with a massive scalar field* ⋮ Averaging with a time-dependent perturbation parameter

Cites Work

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• Chaos in the Einstein-Yang-Mills Equations
• Axially symmetric Bianchi I Yang - Mills cosmology as a dynamical system
• Global dynamics and inflationary center manifold and slow-roll approximants
• Averaging methods in nonlinear dynamical systems

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