Automodelling solutions of the Higgs-field nonlinear wave equation in the de Sitter space Original Research Article

The effect of the expansion of the Universe on such classical physical objects as spherical bubbles is studied. We look for automodelling solutions to scalar Higgs-field equation in the de Sitter space and compare them with the bubble type solutions in the thin-wall approximation. The automodelling bubbles could be considered as critical or singular ones because they collapse in an infinite time. Multinodal solutions as enclosed bubbles are discovered numerically.