Holographic complexity in Vaidya spacetimes. Part II

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 she...

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Main Authors: Shira Chapman, Hugo Marrochio, Robert C. Myers
Format: Article
Language:English
Published: SpringerOpen 2018-06-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP06(2018)114
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author Shira Chapman
Hugo Marrochio
Robert C. Myers
author_facet Shira Chapman
Hugo Marrochio
Robert C. Myers
author_sort Shira Chapman
collection DOAJ
description 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.
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spelling doaj.art-92d56939e7a64ff596311ae6581fce212022-12-21T18:25:17ZengSpringerOpenJournal of High Energy Physics1029-84792018-06-0120186110310.1007/JHEP06(2018)114Holographic complexity in Vaidya spacetimes. Part IIShira Chapman0Hugo Marrochio1Robert C. Myers2Perimeter Institute for Theoretical PhysicsPerimeter Institute for Theoretical PhysicsPerimeter Institute for Theoretical PhysicsAbstract 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.http://link.springer.com/article/10.1007/JHEP06(2018)114AdS-CFT CorrespondenceGauge-gravity correspondenceBlack Holes
spellingShingle Shira Chapman
Hugo Marrochio
Robert C. Myers
Holographic complexity in Vaidya spacetimes. Part II
Journal of High Energy Physics
AdS-CFT Correspondence
Gauge-gravity correspondence
Black Holes
title Holographic complexity in Vaidya spacetimes. Part II
title_full Holographic complexity in Vaidya spacetimes. Part II
title_fullStr Holographic complexity in Vaidya spacetimes. Part II
title_full_unstemmed Holographic complexity in Vaidya spacetimes. Part II
title_short Holographic complexity in Vaidya spacetimes. Part II
title_sort holographic complexity in vaidya spacetimes part ii
topic AdS-CFT Correspondence
Gauge-gravity correspondence
Black Holes
url http://link.springer.com/article/10.1007/JHEP06(2018)114
work_keys_str_mv AT shirachapman holographiccomplexityinvaidyaspacetimespartii
AT hugomarrochio holographiccomplexityinvaidyaspacetimespartii
AT robertcmyers holographiccomplexityinvaidyaspacetimespartii