Holographic complexity in charged Vaidya black hole

Abstract In this paper, we use the “complexity equals action” (CA) conjecture to discuss growth rate of the complexity in a charged AdS-Vaidya black hole formed by collapsing an uncharged spherically symmetric thin shell of null fluid. Using the approach proposed by Lehner et al., we evaluate the ac...

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Main Author: Jie Jiang
Format: Article
Language:English
Published: SpringerOpen 2019-02-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-019-6639-1
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author Jie Jiang
author_facet Jie Jiang
author_sort Jie Jiang
collection DOAJ
description Abstract In this paper, we use the “complexity equals action” (CA) conjecture to discuss growth rate of the complexity in a charged AdS-Vaidya black hole formed by collapsing an uncharged spherically symmetric thin shell of null fluid. Using the approach proposed by Lehner et al., we evaluate the action growth rate and the slope of the complexity of formation. Then, we demonstrate that the behaviors of them are in agreement with the switchback effect for the light shock wave case. Moreover, we show that to obtain an expected property of the complexity, it is also necessary for the CA conjecture to add the particular counterterm on the null boundaries.
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spelling doaj.art-0fa71750b6a245f2a0705a8b5337a03b2022-12-22T03:04:58ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-02-0179211310.1140/epjc/s10052-019-6639-1Holographic complexity in charged Vaidya black holeJie Jiang0Department of Physics, Beijing Normal UniversityAbstract In this paper, we use the “complexity equals action” (CA) conjecture to discuss growth rate of the complexity in a charged AdS-Vaidya black hole formed by collapsing an uncharged spherically symmetric thin shell of null fluid. Using the approach proposed by Lehner et al., we evaluate the action growth rate and the slope of the complexity of formation. Then, we demonstrate that the behaviors of them are in agreement with the switchback effect for the light shock wave case. Moreover, we show that to obtain an expected property of the complexity, it is also necessary for the CA conjecture to add the particular counterterm on the null boundaries.http://link.springer.com/article/10.1140/epjc/s10052-019-6639-1
spellingShingle Jie Jiang
Holographic complexity in charged Vaidya black hole
European Physical Journal C: Particles and Fields
title Holographic complexity in charged Vaidya black hole
title_full Holographic complexity in charged Vaidya black hole
title_fullStr Holographic complexity in charged Vaidya black hole
title_full_unstemmed Holographic complexity in charged Vaidya black hole
title_short Holographic complexity in charged Vaidya black hole
title_sort holographic complexity in charged vaidya black hole
url http://link.springer.com/article/10.1140/epjc/s10052-019-6639-1
work_keys_str_mv AT jiejiang holographiccomplexityinchargedvaidyablackhole