Scalar field solutions in the Weyl class

ABSTRACT: After briefly reviewing the properties of the Weyl-scalar field system we derive and analyze a particularly simple phantom scalar field solution within the Weyl geometry (a natural counterpart of the Curzon--Chazy spacetime).

We show that this solution contains a wormhole throat which connects to a region that is not asymptotically flat and that behaves like a one-directional time machine. We investigate its conformal structure and analyze a non-scalar singularity appearing beyond the wormhole throat. Various definitions of mass of the spacetime are compared in the presence of phantom matter.