Chaos from the ring string in Gauss-Bonnet black hole in $Ad{S}_5$ space

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 $\lambda$ 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.

16 pages, 3 figures

References in corpus (11)

• Effective Holographic Theories for low-temperature condensed matter systems
• A new cubic theory of gravity in five dimensions: Black hole, Birkhoff's theorem and C-function
• Lyapunov indices with two nearby trajectories in a curved spacetime
• Chaos Rules out Integrability of Strings in AdS_5 x T^{1,1}
• Gauss-Bonnet Holographic Superconductors
• The 3+1 holographic superconductor with Weyl corrections
• On (non)integrability of classical strings in p-brane backgrounds
• Holographic Superconductors in Quasi-topological Gravity
• Chaotic motion in multi-black hole spacetimes and holographic screens
• Dipole Coupling Effect of Holographic Fermion in the Background of Charged Gauss-Bonnet AdS Black Hole
• Holographic fermions in charged Gauss-Bonnet black hole

Cited by in corpus (4)

• Universality in Chaos of Particle Motion near Black Hole Horizon
• Chaotic dynamics of strings in charged black hole backgrounds
• Chaos in Charged Gauss-Bonnet AdS Black Holes in Extended Phase Space
• Oblique magnetic fields and the role of frame dragging near rotating black hole