Simple realization of the inflationary expansion of the universe

Physics

Scientific paper

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Cosmology, Einstein Equations, Expansion, Universe, Equations Of Motion, Fourier Transformation, Nonlinear Equations, Thermodynamic Equilibrium

Scientific paper

The time evolution of the N-vector model coupled to the Einstein field equation in a Robertson-Walker metric is studied numerically under the assumption of initial equilibrium at high temperatures and in the limit as N tends to infinity. The system shows inflationary expansion of the Robertson-Walker scale factor, alpha(t), over many e-foldings as well as local ordering. The associated structure factor develops a Bragg peak near zero wave number which has the proper weight for a spontaneously broken symmetry and has a width (inversely proportional to a characteristic domain size) which is inversely proportional to alpha(t).

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