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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Format: | Article |
Language: | English |
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SpringerOpen
2018-06-01
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Series: | Journal of High Energy Physics |
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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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format | Article |
id | doaj.art-92d56939e7a64ff596311ae6581fce21 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-12-22T12:47:45Z |
publishDate | 2018-06-01 |
publisher | SpringerOpen |
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series | Journal of High Energy Physics |
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 |