English

Axially Symmetric Exponential Metric

General Relativity and Quantum Cosmology 2025-06-10 v3

Abstract

We revisit the Yilmaz Exponential Metric (YEM), which was recently shown to describe a traversable wormhole, and construct an axially symmetric generalization strictly within the framework of general relativity. Starting from a deformed spherically symmetric ansatz, we introduce a two-parameter family of Axially Symmetric Exponential Metric (ASEM) solutions that smoothly interpolate between the YEM and the Curzon-Chazy spacetime geometry.

Cite

@article{arxiv.2309.02874,
  title  = {Axially Symmetric Exponential Metric},
  author = {S. Habib Mazharimousavi},
  journal= {arXiv preprint arXiv:2309.02874},
  year   = {2025}
}

Comments

The final version, 8 pages, one figure, published in PHYSICS OF THE DARK UNIVERSE

R2 v1 2026-06-28T12:14:05.506Z