Phantom scalar field counterpart to Curzon–Chazy spacetime

Abstract

Abstract We derive and analyze phantom scalar field counterpart to Curzon–Chazy spacetime. Such solution contains a wormhole throat while the region inside the throat behaves like a one-directional time machine. We describe its conformal structure and non-scalar singularity hidden inside the wormhole. We examine the results provided by different definitions of mass of the spacetime to understand their value in the presence of phantom matter. The electromagnetic generalization of this spacetime is as well briefly considered.