A spacetime with closed timelike geodesics everywhere

2010/04/19 by Øyvind Grøn, Gron, Oyvind, Steinar Johannesen +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.1004.3235

openalex publication_date 2010/04/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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