HIGGS–ANTI-DE SITTER SPACETIME BUBBLES FROM SPONTANEOUS Z2-VIOLATION AT ELECTROWEAK SYMMETRY BREAKING SCALE

Abstract

The Einstein–Gordon equations for Friedmann–Robertson–Walker (FRW) geometries in feedback reaction with the quartically self-interacting physical field, arisen from the spontaneous Z2-symmetry breaking, are explicitly formulated. The fixed point exact solutions to the "inner parity" non-invariant Einstein–Gordon system (mandatory) describe (k=-1)-FRW manifolds which actually are either Milne or anti-de Sitter Universes. Setting the Z2-invariance breaking scale at one of the electroweak symmetry, we speculate on the cosmological implications of the Higgs–anti-de Sitter bubbles and derive a set of closed-form solutions to the S2-cobordism with a spatially-flat FRW Universe.