On Complexity for Higher Derivative Gravities

Understand

Using "complexity=action" proposal we study complexity growth of certain gravitational theories containing higher derivative terms.

• These include critical gravity in diverse dimensions.
• One observes that the complexity growth for neutral black holes saturates the proposed bound when the results are written in terms of physical quantities of the model.
• We will also study effects of shock wave to the complexity growth where we find that the presence of massive spin-2 mode slows down the rate of growth.