Holographic Complexity in Vaidya Spacetimes

We investigate holographic complexity for eternal black hole backgrounds perturbed by shock waves with both the complexity action CA and complexity volume CV proposals We consider Vaidya geometries describing a thin shell of null fluid with arbitrary energy falling in from one of the boundaries of a two sided AdS Schwarzschild spacetime We demonstrate how scrambling and chaos are imprinted in the complexity of formation and in the full time evolution of complexity via the switchback effect for light shocks as well as analogous properties for heavy ones