Chaotic dynamics of strings in charged black hole backgrounds

Abstract

We study the motion of a string in the background of Reissner-Nordstrom black hole, in both AdS as well as asymptotically flat spacetimes. We describe the phase space of this dynamical system through largest Lyapunov exponent, Poincare sections and basins of attractions. We observe that string motion in these settings is particularly chaotic and comment on its characteristics.

arXiv comment16 pages and 11 figures

References in corpus (15)

• Review of AdS/CFT Integrability: An Overview
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• Aspects of Semiclassical Strings in AdS${}_5$
• Chaos Rules out Integrability of Strings in AdS_5 x T^{1,1}
• Chaos in the Gauge/Gravity Correspondence
• Analytic Non-integrability in String Theory
• Chaotic Scattering and Capture of Strings by Black Hole
• Chaos around Holographic Regge Trajectories
• (Non)-Integrability of Geodesics in D-brane Backgrounds
• On (non)integrability of classical strings in p-brane backgrounds
• On Marginal Deformations and Non-Integrability
• Chaotic strings in a near Penrose limit of AdS${}_5\times T^{1,1}$
• Non-integrability in non-relativistic theories
• Chaos from the ring string in Gauss-Bonnet black hole in $Ad{S}_5$ space
• Chaos in classical string dynamics in $\hat{\gamma }$ deformed $Ad{S}_5\times T^{1,1}$

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