Linear Stability of Closed Timelike Geodesics

Abstract

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 Gödel universe (Gödel-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.

7 pages, RevTex, minor changes to match the published version

References in corpus (2)

• Stability of Closed Timelike Geodesics
• Closed timelike geodesics in a gas of cosmic strings

Cited by in corpus (1)

• Spinning Strings, Black Holes and Stable Closed Timelike Geodesics