Holographic complexity in vaidya spacetimes. Part II

Shira Chapman, Hugo Marrochio, Robert C. Myers

Research output: Contribution to journalArticlepeer-review

84 Scopus citations

Abstract

In this second part of the study initiated in [1], we investigate holographic complexity for eternal black hole backgrounds perturbed by shock waves, with both the complexity=action (CA) and complexity=volume (CV) proposals. In particular, 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 known properties of complexity, such as the switchback effect for light shocks, as well as analogous properties for heavy ones, are imprinted in the complexity of formation and in the full time evolution of complexity. Following our discussion in [1], we find that in order to obtain the expected properties of the complexity, the inclusion of a particular counterterm on the null boundaries of the Wheeler-DeWitt patch is required for the CA proposal.

Original languageEnglish
Article number114
JournalJournal of High Energy Physics
Volume2018
Issue number6
DOIs
StatePublished - 1 Jun 2018
Externally publishedYes

Keywords

  • AdS-CFT correspondence
  • Black holes
  • Gauge-gravity correspondence

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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