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Recently, the action growth rate of a variety of four-dimensional regular magnetic black holes in F frame is obtained in [1]. Here, we study the action growth rate of a four-dimensional regular electric black hole in P frame that is the…

General Relativity and Quantum Cosmology · Physics 2021-11-24 B. Bahrami Asl , S. H. Hendi , S. N. Sajadi

Within the framework of the "complexity equals action" and "complexity equals volume" conjectures, we study the properties of holographic complexity for rotating black holes. We focus on a class of odd-dimensional equal-spinning black holes…

High Energy Physics - Theory · Physics 2023-01-11 Abdulrahim Al Balushi , Robie A. Hennigar , Hari K. Kunduri , Robert B. Mann

We consider the complexity of a single-sided AdS black hole as modelled by an end-of-the-world brane. In addition, we present multi-boundary partition functions and matter correlation functions for such a setting. We compute the complexity…

High Energy Physics - Theory · Physics 2022-09-07 Mohsen Alishahiha , Souvik Banerjee , Joshua Kames-King

We adapt the complexity as action prescription (CA) to a semi-classical model of two-dimensional dilaton gravity and determine the rate of increase of holographic complexity for an evaporating black hole. The results are consistent with our…

High Energy Physics - Theory · Physics 2020-08-26 Lukas Schneiderbauer , Watse Sybesma , Lárus Thorlacius

The holographic complexity of a static spherically symmetric black hole, defined as the volume of an extremal surface, grows linearly with time at late times in general relativity. The growth comes from a region at a constant transverse…

High Energy Physics - Theory · Physics 2025-08-11 Friðrik Freyr Gautason , Vyshnav Mohan , Lárus Thorlacius

We use the complexity = action (CA) conjecture to study the full-time dependence of holographic complexity in anisotropic black branes. We find that the time behaviour of holographic complexity of anisotropic systems shares a lot of…

High Energy Physics - Theory · Physics 2019-09-10 Seyed Ali Hosseini Mansoori , Viktor Jahnke , Mohammad M. Qaemmaqami , Yaithd D. Olivas

We study the action growth rate in the Wheeler-DeWitt (WDW) patch for a variety of $D\ge 4$ black holes in Einstein gravity that are asymptotic to the anti-de Sitter spacetime, with spherical, toric and hyperbolic horizons, corresponding to…

High Energy Physics - Theory · Physics 2020-08-26 Hai-Shan Liu , H. Lu , Liang Ma , Wen-Di Tan

We evaluate the full time dependence of holographic complexity in various eternal black hole backgrounds using both the complexity=action (CA) and the complexity=volume (CV) conjectures. We conclude using the CV conjecture that the rate of…

High Energy Physics - Theory · Physics 2018-11-15 Dean Carmi , Shira Chapman , Hugo Marrochio , Robert C. Myers , Sotaro Sugishita

The general form of the action growth for a large class of static black hole solutions in modified gravity which includes $F(R)$-gravity models is computed. The cases of black hole solutions with non vanishing Ricci curvature are also…

High Energy Physics - Theory · Physics 2018-02-14 Lorenzo Sebastiani , Luciano Vanzo , Sergio Zerbini

We consider the Complexity=Action (CA) proposal in Einstein gravity and investigate new counterterms which are able to remove all the UV divergences of holographic complexity. We first show that the two different methods for regularizing…

High Energy Physics - Theory · Physics 2021-02-18 Amin Akhavan , Farzad Omidi

In this paper, we use Born-Infeld black holes to test two recent holographic conjectures of complexity, the "Complexity = Action" (CA) duality and "Complexity = Volume 2.0" (CV) duality. The complexity of a boundary state is identified with…

High Energy Physics - Theory · Physics 2018-01-17 Jun Tao , Peng Wang , Haitang Yang

In this article, we study the complexity growth rate for Banados Teitlboim Zanelli, Schwarzschild, Reissner Nordstrom, and Kerr black holes using complexity-volume (CV) and complexity-action (CA) dualities and verify that it is proportional…

General Relativity and Quantum Cosmology · Physics 2025-10-15 Suraj Maurya , Sashideep Gutti , Rahul Nigam , Swastik Bhattacharya

We compute the time-dependent complexity of the thermofield double states by four different proposals: two holographic proposals based on the "complexity-action" (CA) conjecture and "complexity-volume" (CV) conjecture, and two quantum field…

High Energy Physics - Theory · Physics 2017-11-10 Keun-Young Kim , Chao Niu , Run-Qiu Yang , Cheng-Yong Zhang

In this paper, according to CA duality, we study complexity growth of Born-Infeld (BI) black holes. As a comparison, we study action growth of dyonic black holes in Einstein-Maxwell gravity at the beginning. We study action growth of…

High Energy Physics - Theory · Physics 2019-12-24 Kun Meng

Motivated by $T{\overline T}$ deformation of a conformal field theory we compute holographic complexity for a black brane solution with a cut off using "complexity=action" proposal. In order to have a late time behavior consistent with…

High Energy Physics - Theory · Physics 2019-01-30 Amin Akhavan , Mohsen Alishahiha , Ali Naseh , Hamed Zolfi

Using complexity=action proposal we study the growth rate of holographic complexity for Lifshitz and hyperscaling violating geometries. We will consider both one and two sided black branes in an Einstein-Maxwell-Dilaton gravitational…

High Energy Physics - Theory · Physics 2018-08-01 Mohsen Alishahiha , Amin Faraji Astaneh , M. Reza Mohammadi Mozaffar , Ali Mollabashi

The action growth proposal relates the holographic complexity to the value of the action on the Wheeler-de Witt patch. We introduce a new method of calculating the gravitational action using the "bulk" term, i.e. the part of the…

High Energy Physics - Theory · Physics 2024-05-22 Martin Krššák

We consider the growth of the action for black hole spacetime with a fundamental string. Our interest is to find the difference of the behavior between black holes with three different topologies in the scenario of complexity-action…

High Energy Physics - Theory · Physics 2020-09-24 Koichi Nagasaki

After reformulating $F($Riemann$)$ gravity theory as a second derivative theory by introducing two auxiliary fields to the bulk action, we derive the surface term as well as the corner term supplemented to the bulk action for a generic…

High Energy Physics - Theory · Physics 2019-04-10 Jie Jiang , Hongbao Zhang

In this paper, we relate the complexity for a holographic state to a simple gravitational object of which the growth rate at late times is equal to temperature times black hole entropy. We show that if this is correct, the thermodynamics of…

High Energy Physics - Theory · Physics 2019-07-31 Zhong-Ying Fan , Minyong Guo