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arXiv · 1004.3235

A spacetime with closed timelike geodesics everywhere

Oyvind Gron·Steinar Johannesen
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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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Oyvind Gron, Steinar Johannesen. 2010-04-19. A spacetime with closed timelike geodesics everywhere. https://arxiv.org/abs/1004.3235

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