Global dynamics of Yang-Mills field and perfect-fluid Robertson-Walker cosmologies. (English) Zbl 1441.83005
The authors apply a global dynamical system formulation of the Friedmann-Robertson-Walker cosmological solutions with a massless and massive Yang-Mills field and a perfect fluid with linear equation of state as the matter sources. This allows to give proofs concerning the dynamics of the model including source dominance toward the past and future time directions. In a case of a massless Yang-Mills field, the authors reformulate the well-known existing results in a global compact state space picture.
Reviewer: Alex B. Gaina (Chisinau)
MSC:
| 83C05 | Einstein’s equations (general structure, canonical formalism, Cauchy problems) |
| 83C55 | Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) |
| 83C20 | Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory |
| 70S15 | Yang-Mills and other gauge theories in mechanics of particles and systems |
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 83F05 | Relativistic cosmology |
| 53Z05 | Applications of differential geometry to physics |
| 37A10 | Dynamical systems involving one-parameter continuous families of measure-preserving transformations |
| 35Q76 | Einstein equations |
Keywords:
equations of state; fundamental constants; metric geometry; Einstein field equations; coupling constants; dynamical systems; general relativity; vector fields; covariant formulations; cosmologyReferences:
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