Action growth for black holes in modified gravity

Sebastiani, Lorenzo; Vanzo, Luciano; Zerbini, Sergio

doi:10.1103/physrevd.97.044009

Cited by 21 publications

(15 citation statements)

References 89 publications

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“…Our main concern was to compute finite term of the on-shell action. It is contrary to the most studies in the literature where the main concern was to compute the growth rate of the complexity (see for example [53][54][55][56][57][58][59][60][61][62][63][64][65][66]).…”

Section: Discussionmentioning

confidence: 92%

Black hole subregion action and complexity

2019

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We evaluate finite part of the on-shell action for black brane solutions of Einstein gravity on different subregions of spacetime enclosed by null boundaries. These subregions include the intersection of WDW patch with past/future interior and left/right exterior for a two sided black brane. Identifying the on-shell action on the exterior regions with subregion complexity one finds that it obeys subadditivity condition. This gives an insight to define a new quantity named mutual complexity. We will also consider certain subregion that is a part of spacetime which could be causally connected to an operator localized behind/outside the horizon. Taking into account all terms needed to have a diffeomorphism invariant action with a well-defined variational principle, one observes that the main contribution that results to a nontrivial behavior of the onshell action comes from joint points where two lightlike boundaries (including horizon) intersect. A spacelike boundary gives rise to a linear time growth, while we have a classical contribution due to a timelike boundary that is given by the free energy.

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Section: Discussionmentioning

confidence: 92%

Black hole subregion action and complexity

2019

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“…For related discussions, see also the papers [32][33][34][35] and references therein. There have also been a lot of discussions on the complexity growth rate in different spacetime settings and different gravity theories other than Einstein gravity [36][37][38][39][40][41][42][43][44][45][46][47][48][49][50]. While the CA conjecture passed several non-trivial tests, there are also some problems suggesting the correction of this conjecture, such as the violation of the Lloyd bound in full time evolution of the action found in the paper [51].…”

Section: Introductionmentioning

confidence: 99%

Time dependence of holographic complexity in Gauss-Bonnet gravity

Cai

Peng

2018

Phys. Rev. D

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We study the effect of the Gauss-Bonnet term on the complexity growth rate of dual field theory using the "Complexity-Volume" (CV) and CV2.0 conjectures. We investigate the late time value and full time evolution of the complexity growth rate of the Gauss-Bonnet black holes with horizons with zero curvature (k = 0), positive curvature (k = 1) and negative curvature (k = −1) respectively. For the k = 0 and k = 1 cases we find that the Gauss-Bonnet term suppresses the growth rate as expected, while in the k = −1 case the effect of the Gauss-Bonnet term may be opposite to what is expected. The reason for it is briefly discussed, and the comparison of our results to the result obtained by using the "Complexity-Action" (CA) conjecture is also presented. We also briefly investigate two proposals applying some generalized volume functionals dual to the complexity in higher curvature gravity theories, and find their behaviors are different for k = 0 at late times. Contents

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“…In this special issue, theoretical, computational, and experimental approaches are taken to advance our understanding of liquid water. Review articles by Geske et al [105], Sebastiani [106], and Demuth et al [107] provide overviews of these activities. Moreover, original works by Brodrecht et al [60] and Weigler et al [62] deal with the properties of water in lowly hydrated and peptide functionalized mesoporous silica, respectively.…”

Section: Pure Hydrogen-bonded Liquids In Confinement 31 Watermentioning

confidence: 99%

“…In particular, spatially resolved analyses of simulation data yield valuable information about degree and range of structural and dynamical distortions. In this special issue, two review articles give an overview of the field [105,106]. Two types of approaches can be distinguished.…”

Section: Pure Hydrogen-bonded Liquids In Confinement 31 Watermentioning

confidence: 99%

“…chemically realistic silica pores were generated using ab-initio methods [117,118] or sophisticated algorithms [119]. In most cases, it was found that structure and dynamics of water are strongly distorted near realistic solid surfaces [95,96,105,106,[113][114][115][116][117][118]. Another part of the computational approaches aimed for a fundamental understanding of the phenomena based on purposefully designed artificial systems.…”

Section: Pure Hydrogen-bonded Liquids In Confinement 31 Watermentioning

confidence: 99%

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Properties of Hydrogen-Bonded Liquids at Interfaces

Buntkowsky

Vogel

Winter

2018

Zeitschrift Für Physikalische Chemie

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Effects of interfaces on hydrogen-bonded liquids play major roles in nature and technology. Despite their importance, a fundamental understanding of these effects is still lacking. In large parts, this shortcoming is due to the high complexity of these systems, leading to an interference of various interactions and effects. Therefore, it is advisable to take gradual approaches, which start from well designed and defined model systems and systematically increase the level of intricacy towards more complex mimetics. Moreover, it is necessary to combine insights from a multitude of methods, in particular, to link novel preparation strategies and comprehensive experimental characterization with inventive computational and theoretical modeling. Such concerted approach was taken by a group of preparative, experimentally, and theoretically working scientists in the framework of Research Unit FOR 1583 funded by the Deutsche Forschungsgemeinschaft (German Research Foundation). This special issue summarizes the outcome of this collaborative research. In this introductory article, we give an overview of the covered topics and the main results of the whole consortium. The following contributions are review articles or original works of individual research projects.

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Action growth for black holes in modified gravity

Cited by 21 publications

References 89 publications

Black hole subregion action and complexity

Black hole subregion action and complexity

Time dependence of holographic complexity in Gauss-Bonnet gravity

Properties of Hydrogen-Bonded Liquids at Interfaces

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