A spacetime with closed timelike geodesics everywhere

Details A spacetime with closed timelike geodesics everywhere A spacetime with closed timelike geodesics everywhere

2010-04-19

arxiv.org/abs/1004.3235v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, 1 figure

Scientific paper

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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