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arXiv · 1405.3563

Chaos from the ring string in Gauss-Bonnet black hole in $AdS_5$ space

Da-Zhu Ma·Jian-Pin Wu·Jifang Zhang
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Abstract

By the Poincare sections, the dynamical behaviors of the ring string in the AdS-Gauss-Bonnet (AdS-GB) black hole are studied. A threshold value of the Gauss-Bonnet (GB) parameter $λ$ are found by the numerical method, below which the behavior of this dynamical system is no-chaotic and above which the behavior becomes gradually chaotic. The chaotic behavior becomes stronger with the increases of GB parameter. It is different from the case in the AdS-Schwarzschild black hole, which is weakly chaotic. Furthermore, we confirm our findings by the Fast Lyapunov indicators.

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Da-Zhu Ma, Jian-Pin Wu, Jifang Zhang. 2014-05-14. Chaos from the ring string in Gauss-Bonnet black hole in $AdS_5$ space. https://doi.org/10.1103/physrevd.89.086011

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