Holographic Butterfly Velocities in Brane Geometry and Einstein-Gauss-Bonnet Gravity with Matters

Abstract

In the first part of the paper we generalize the butterfly velocity formula to anisotropic spacetime. We apply the formula to evaluate the butterfly velocities in M-branes, D-branes and strings backgrounds. We show that the butterfly velocities in M2-branes, M5-branes and the intersection M2$\perp$M5 equal to those in fundamental strings, D4-branes and the intersection F1$\perp$D4 backgrounds, respectively. These observations lead us to conjecture that the butterfly velocity is generally invariant under a double-dimensional reduction. In the second part of the paper, we study the butterfly velocity for Einstein-Gauss-Bonnet gravity with arbitrary matter fields. A general formula is obtained. We use this formula to compute the butterfly velocities in different backgrounds and discuss the associated properties.

Latex, 25 pages, give the simplest form of formula (4.18), typos corrected

References in corpus (9)

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• Disrupting Entanglement of Black Holes
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• On Butterfly effect in Higher Derivative Gravities
• Note on the butterfly effect in holographic superconductor models
• Delocalizing Entanglement of Anisotropic Black Branes
• Butterfly Velocity Bound and Reverse Isoperimetric Inequality
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Cited by in corpus (10)

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• Weyl corrections to diffusion and chaos in holography
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• Quantum critical scaling and holographic bound for transport coefficients near Lifshitz points
• Chaos, Diffusivity, and Spreading of Entanglement in Magnetic Branes, and the Strengthening of the Internal Interaction
• Complexity growth and shock wave geometry in AdS-Maxwell-power-Yang-Mills theory
• Butterfly Velocity in Quadratic Gravity
• Gauss-Bonnet AdS planar and spherical black hole thermodynamics and holography
• Soft thermodynamics of gravitational shock wave
• Holographic Aspects of Quasi-topological Gravity