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arXiv · 1610.01542

Holographic Complexity for Time-Dependent Backgrounds

Davood Momeni·Mir Faizal·Sebastian Bahamonde·Ratbay Myrzakulov
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Abstract

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. We will analyse 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 a time-dependent geometries.

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Davood Momeni, Mir Faizal, Sebastian Bahamonde, Ratbay Myrzakulov. 2016-10-05. Holographic Complexity for Time-Dependent Backgrounds. https://doi.org/10.1016/j.physletb.2016.09.036

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