Axially symmetric wormholes
General Relativity and Quantum Cosmology
2026-02-24 v1
Abstract
In this work, we derive an exact vacuum solution to the Einstein field equations that depends on three constant parameters: the throat radius , a parameter , which is closely associated with the Komar mass, and a parameter , which introduces axial topological defect while avoiding the emergence of conical singularities. We employ the cut-and-paste construction to generate wormhole geometries from this solution for . In addition, we perform a detailed analysis of the embedding diagrams, the wormhole throat, the occurrence and structure of trapped surfaces, the behavior of geodesics, the associated tidal forces, the Petrov algebraic classification, the Newman-Penrose spin coefficients, and the corresponding invariant conserved charges.
Keywords
Cite
@article{arxiv.2602.19975,
title = {Axially symmetric wormholes},
author = {I. A. Sarmiento-Alvarado and Leonel Bixano and Tonatiuh Matos},
journal= {arXiv preprint arXiv:2602.19975},
year = {2026}
}