On Butterfly effect in Higher Derivative Gravities

Understand

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.