English

A spacetime with closed timelike geodesics everywhere

General Relativity and Quantum Cosmology 2010-04-20 v1

Abstract

In the present article we find a new class of solutions of Einstein's field equations. It describes stationary, cylindrically symmetric spacetimes with closed timelike geodesics everywhere outside the symmetry axis. These spacetimes contain a magnetic field parallel to the axis, a perfect fluid with constant density and pressure, and Lorentz invariant vacuum with energy density represented by a negative cosmological constant.

Keywords

Cite

@article{arxiv.1004.3235,
  title  = {A spacetime with closed timelike geodesics everywhere},
  author = {Oyvind Gron and Steinar Johannesen},
  journal= {arXiv preprint arXiv:1004.3235},
  year   = {2010}
}

Comments

7 pages, 1 figure

R2 v1 2026-06-21T15:12:07.491Z