Non-singular solutions to Einstein-Klein-Gordon equations with a phantom scalar field

Abstract

It is shown that the 4D Einstein-Klein-Gordon equations with a phantom scalar field (a scalar field with a negative sign in front of the kinetic energy term of its Lagrange density) has non-singular, spherically symmetry solutions. These solutions have a combination of features found in other spherically symmetric gravity plus field solutions. A stability analysis on these solutions indicates they are unstable.