Linear Stability of Closed Timelike Geodesics
General Relativity and Quantum Cosmology
2011-01-26 v2
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 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 are also examined.
Keywords
Cite
@article{arxiv.0706.3212,
title = {Linear Stability of Closed Timelike Geodesics},
author = {Valéria M. Rosa and Patricio S. Letelier},
journal= {arXiv preprint arXiv:0706.3212},
year = {2011}
}