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Holographic complexity for time-dependent backgrounds

Momeni, D; Faizal, M; Bahamonde, S; Myrzakulov, R; (2016) Holographic complexity for time-dependent backgrounds. Physics Letters B , 762 (C) pp. 276-282. 10.1016/j.physletb.2016.09.036. Green open access

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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.

Type: Article
Title: Holographic complexity for time-dependent backgrounds
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.physletb.2016.09.036
Publisher version: http://dx.doi.org/10.1016/j.physletb.2016.09.036
Language: English
Additional information: This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
URI: https://discovery.ucl.ac.uk/id/eprint/1566791
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