On the Butterfly Effect in 3D Gravity

Abstract

We study the butterfly effect by considering shock wave solutions near the horizon of the AdS black brane in some of 3-dimensional Gravity models including; 3D Einstein Gravity, Minimal Massive 3D Gravity, New Massive Gravity, Generalized Massive Gravity, Born-Infeld 3D Gravity and New Bi-Gravity. We calculate the butterfly velocities of these models and also we consider the critical points and different limits in some of these models. By studying the butterfly effect in the Generalized Massive Gravity, we observe a correspondence between the butterfly velocities and right-left moving degrees of freedom or the central charges of the dual 2D Conformal Field Theories.

19 pages, References added, Journal version to appear in PRD

References in corpus (14)

• Massive Gravity in Three Dimensions
• Thermal diffusivity and chaos in metals without quasiparticles
• Born-Infeld extension of new massive gravity
• Minimal Massive 3D Gravity
• Disrupting Entanglement of Black Holes
• On the Generalized Massive Gravity in $Ad{S}_3$
• c-functions in the Born-Infeld extended New Massive Gravity
• On Butterfly effect in Higher Derivative Gravities
• Note on the butterfly effect in holographic superconductor models
• Minimal Massive Gravity: Conserved Charges, Excitations and the Chiral Gravity Limit
• On 3D Minimal Massive Gravity
• On Born-Infeld Gravity in Three Dimensions
• Butterfly Velocity Bound and Reverse Isoperimetric Inequality
• Holographic Butterfly Effect and Diffusion in Quantum Critical Region

Cited by in corpus (1)

• Delocalizing Entanglement of Anisotropic Black Branes