Simplest classical models of topological transitions

Abstract

It is shown that the simplest classical models of topological transitions have scalar singularity of curvature with a point carrier that is a source of spacetime incompleteness. It is also shown that, close to topological transition, the condition of energy dominance is violated, while the asymptotic behavior of the curvature tensor (increase in curvature on approaching topological transition) and the energy-momentum tensor (violation of the energy-dominance condition) is a common property of the given models and is determined overall by the type of topological transition.