English

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 r0r_0, a parameter qq, which is closely associated with the Komar mass, and a parameter ss, 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 q0q \neq 0. 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}
}
R2 v1 2026-07-01T10:47:38.033Z