Stability, causality and quasinormal modes of cosmic strings and cylinders

Abstract

In this work we consider the evolution of a massive scalar field in cylindrically symmetric space-times. Quasinormal modes have been calculated for static and rotating cosmic cylinders. We found unstable modes in some cases. Rotating as well as static cosmic strings, i.e., without regular interior solutions, do not display quasinormal oscillation modes. We conclude that rotating cosmic cylinder space-times that present closed time-like curves are unstable against scalar perturbations.

13 pages, 3 figures, 6 graph files, 4 tables

References in corpus (3)

• Scalar field perturbations of the Schwarzschild black hole in the Gödel Universe
• Cauchy Problem on Non-globally Hyperbolic Spacetimes
• Static cylindrically symmetric spacetimes

Cited by in corpus (5)

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• Calculations of three-nucleon reactions with N3LO chiral forces: achievements and challenges
• AdS-like spectrum of the asymptotically Gödel space-times
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• A philosophical argument against time machines