Holographic complexity for time-dependent backgrounds

Davood Momeni, Mir Faizal, Sebastián Bahamonde, Ratbay Myrzakulov

Physics Letters B, 2016

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DOI 10.1016/j.physletb.2016.09.036

Data confidence 85 high

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Abstract

In this paper, we will analyze 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. We will analyze the time-dependence as a perturbation of the asymptotically AdS geometries. Thus, we will obtain time-dependent asymptotically AdS geometries, and we will calculate the holographic complexity for such time-dependent geometries.