Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-06-21
in Goedel-type spacetimes: History and new developments, M. Plaue and M. Scherfner Eds., Kurt Goedel Society Collegium Logicum
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
7 pages, RevTex, minor changes to match the published version
Scientific paper
The linear stability of closed timelike geodesics (CTGs) is analyzed in two spacetimes with cylindrical sources, an infinite rotating dust cylinder, and a cylindrical cloud of static cosmic strings with a central spinning string. We also study the existence and linear stability of closed timelike curves in spacetimes that share some common features with the G\"odel universe (G\"odel-type spacetimes). In this case the existence of CTGs depends on the `background' metric. The CTGs in a subclass of inhomogeneous stationary cosmological solutions of the Einstein-Maxwell equations with topology $ S^3\times \mathbb R$ are also examined.
Letelier Patricio S.
Rosa Valeria M.
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