Holographic complexity in Vaidya spacetimes. Part I

Shira Chapman, Hugo Marrochio, Robert C. Myers

Research output: Contribution to journalArticlepeer-review

117 Scopus citations


We examine holographic complexity in time-dependent Vaidya spacetimes with both the complexity=volume (CV) and complexity=action (CA) proposals. We focus on the evolution of the holographic complexity for a thin shell of null fluid, which collapses into empty AdS space and forms a (one-sided) black hole. In order to apply the CA approach, we introduce an action principle for the null fluid which sources the Vaidya geometries, and we carefully examine the contribution of the null shell to the action. Further, we find that adding a particular counterterm on the null boundaries of the Wheeler-DeWitt patch is essential if the gravitational action is to properly describe the complexity of the boundary state. For both the CV proposal and the CA proposal (with the extra boundary counterterm), the late time limit of the growth rate of the holographic complexity for the one-sided black hole is precisely the same as that found for an eternal black hole.

Original languageEnglish
Article number46
JournalJournal of High Energy Physics
Issue number6
StatePublished - 1 Jun 2018
Externally publishedYes


  • AdS-CFT Correspondence
  • Black Holes
  • Black Holes in String Theory
  • Gauge-gravity correspondence

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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