English

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

High Energy Physics - Theory 2014-05-15 v1 General Relativity and Quantum Cosmology

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\lambda 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.

Keywords

Cite

@article{arxiv.1405.3563,
  title  = {Chaos from the ring string in Gauss-Bonnet black hole in $AdS_5$ space},
  author = {Da-Zhu Ma and Jian-Pin Wu and Jifang Zhang},
  journal= {arXiv preprint arXiv:1405.3563},
  year   = {2014}
}

Comments

16 pages, 3 figures