Phantom scalar field counterpart to Curzon-Chazy spacetime
Luk\'a\v{s} Polcar, Otakar Sv\'itek
TL;DR
This paper constructs and analyzes a phantom scalar field version of the Curzon-Chazy spacetime, revealing a wormhole with a one-directional time machine, and explores its conformal structure, singularities, and mass definitions.
Contribution
It introduces a novel phantom scalar field solution with wormhole and time machine features, expanding understanding of exotic spacetimes with phantom matter.
Findings
The solution contains a wormhole throat and a one-directional time machine.
Different mass definitions yield insights into phantom matter effects.
Electromagnetic generalization of the spacetime is briefly analyzed.
Abstract
We derive and analyze phantom scalar field counterpart to Curzon-Chazy spacetime. Such solution contains 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 spacetime to understand their value in the presence of phantom matter. The electromagnetic generalization of this spacetime is as well briefly considered.
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