On Butterfly effect in Higher Derivative Gravities

Abstract

We study butterfly effect in $D$-dimensional gravitational theories containing terms quadratic in Ricci scalar and Ricci tensor. One observes that due to higher order derivatives in the corresponding equations of motion there are two butterfly velocities. The velocities are determined by the dimension of operators whose sources are provided by the metric. The three dimensional TMG model is also studied where we get two butterfly velocities at generic point of the moduli space of parameters. At critical point two velocities coincide.

16 pages, references added

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Cited by in corpus (7)

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• Pole skipping in holographic theories with bosonic fields
• Butterfly Velocity Bound and Reverse Isoperimetric Inequality
• Holographic Butterfly Effect and Diffusion in Quantum Critical Region
• On the Butterfly Effect in 3D Gravity
• A novel holographic quantum phase transition and butterfly velocity
• Fast Scrambling under an RG-flow