Chaos in Lifshitz Spacetimes

Abstract

We investigate the chaotic behavior of a circular test string in the Lifshitz spacetimes considering the critical exponent $z$ as an external control parameter. It is demonstrated that two primary tools to observe chaos in this system are Poincaré section and Lyapunov exponent. Finally, the numerical result shows that if $z=1$, the string dynamics is regular, while in a case slightly larger than $z=1$, the dynamics can be irregular and chaotic.

1+11 pages, 7 figures

References in corpus (5)

• Non-relativistic holography
• Black holes in asymptotically Lifshitz spacetime
• Chaos Rules out Integrability of Strings in AdS_5 x T^{1,1}
• Analytic solutions of the geodesic equation in higher dimensional static spherically symmetric space-times
• Pathologies in Asymptotically Lifshitz Spacetimes