Localized chaos due to rotating shock waves in Kerr-AdS black holes and their ultraspinning version

Abstract

The butterfly velocity of four-dimensional rotating charged asymptotically AdS black hole is calculated to probe chaos using localized rotating shock waves. In this work, we obtain the angular momentum dependence of the butterfly velocity due to rotation in the shock wave probes. In general, the angular momentum $\mathcal{L}$ of the shock waves increases the butterfly velocity. The localized shocks also generate butterfly velocities which vanish when we approach extremality, indicating no entanglement spread near extremality. One of the butterfly velocity modes is well bounded by both the speed of light and the Schwarzschild-AdS result, while the other may become superluminal. Aside from the logarithmic behavior of the scrambling time which indicates chaos, the Lyapunov exponent is also positive and bounded by $\kappa =2\pi T_H/(1-\mu \mathcal{L})$. The Kerr-NUT-AdS and Kerr-Sen-AdS solutions and their ultraspinning versions are used as examples to attain a better understanding of the chaotic phenomena in rotating black holes, especially those with extra conserved charges.

26 pages, 4 captioned figures. Major revision. Accepted for publication in General Relativity and Gravitation

References in corpus (13)

• Disrupting Entanglement of Black Holes
• On the Chaos Bound in Rotating Black Holes
• Aspects of the dyonic Kerr-Sen-AdS${}_4$ black hole and its ultraspinning version
• Delocalizing Entanglement of Anisotropic Black Branes
• Chaos and pole-skipping in a simply spinning plasma
• Hidden conformal symmetry for Kerr-Newman-NUT-AdS black holes
• CFT Duals on Rotating Charged Black Holes Surrounded by Quintessence
• Bound on Lyapunov exponent in Einstein-Maxwell-Dilaton-Axion black holes
• Chaos and fast scrambling delays of dyonic Kerr-Sen-AdS${}_4$ black hole and its ultra-spinning version
• Dual CFT on Dyonic Kerr-Sen black hole and its gauged and ultraspinning counterparts
• Fast Scrambling of Mutual Information in Kerr-AdS${}_4$
• Bouncing inside the horizon and scrambling delays
• Fast Scrambling of mutual information in Kerr-AdS${}_{\text{5}}$

Cited by in corpus (2)

• Scrambling in charged hairy black holes and the Kasner interior
• Stationary Solution to Charged Hairy Black Hole in AdS4: Kasner Interior, Rotating Shock Waves, and Fast Scrambling