Wormhole inducing inflation in Kaluza–Klein cosmology

Abstract

We present wormhole as a solution of Euclidean field equations as well as the solution of Wheeler–DeWitt equation in (4 + 1)-dimensional Kaluza–Klein cosmology minimally coupled with scalar field. A simple analytic solution of the Euclidean field equations enlightens classical forbidden domain in the wormhole configuration under analytic continuation in the Euclidean space by [Formula: see text]. Numerical solutions of the field equations allow wormhole configuration with some standard potentials. The wormhole solution triggers decay of potential and reduction of internal space. Cosmic evolution of a wormhole shows an inflationary era away from the classical forbidden domain introducing aforesaid analytic continuation. Analytic and numerical solution of the Wheeler–DeWitt equation also supports Hawking–Page wormhole boundary conditions.