English

An axially symmetric spacetime with causality violation

General Relativity and Quantum Cosmology 2020-04-30 v1

Abstract

We present an axially symmetric spacetime which contains closed timelike curves, and hence violates the causality condition. The metric belongs to type III in the Petrov classification scheme with vanishing expansion, shear and twist. The matter-energy represents a pure radiation field with a negative cosmological constant. The spacetime is asymptotically anti-de Sitter space in the radial direction.

Keywords

Cite

@article{arxiv.2004.13769,
  title  = {An axially symmetric spacetime with causality violation},
  author = {Bidyut Bikash Hazarika},
  journal= {arXiv preprint arXiv:2004.13769},
  year   = {2020}
}

Comments

11 pages, no figures

R2 v1 2026-06-23T15:09:54.134Z