Wormhole solutions in GR with two phantom scalar fields

Abstract

Domain solutions in general relativity created with two phantom scalar fields are investigated. It has been shown that the solutions with finite energy exist for some specific values of the parameters m₁, m₂ only. Corresponding field equations are solved numerically as nonlinear eigenvalue problem where the parameters m₁, m₂ are eigenvalues and scalar fields are eigenfunctions. The family of solutions depending on values of scalar fields at the center of domain mouth is obtained. The dependence of parameters m₁, m₂ on initial values  is investigated.