Holographic Complexity for Time-Dependent Backgrounds

Understand

In this paper, we will analyse the holographic complexity for time-dependent asymptotically $AdS$ geometries.

• We will first use a covariant zero mean curvature slicing of the time-dependent bulk geometries, and then use this co-dimension one spacelike slice of the bulk spacetime to define a co-dimension two minimal surface.
• The time-dependent holographic complexity will be defined using the volume enclosed by this minimal surface.
• This time-dependent holographic complexity will reduce to the usual holographic complexity for static geometries.