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In this work, we study the computational complexity of massive gravity theory via the "Complexity = Action" conjecture. Our system contains a particle moving on the boundary of the black hole spacetime. It is dual to inserting a fundamental…

High Energy Physics - Theory · Physics 2021-08-30 Yu-Ting Zhou , Xiao-Mei Kuang , Jian-Pin Wu

In this work, we present the effect of a probe string on the complexity of a black hole according to the CA (Complexity equals action) conjecture on Horndeski's gravity. In our system, we consider a particle moving on the boundary of black…

High Energy Physics - Theory · Physics 2020-10-13 F. F. Santos

We investigate the effect of $R^2$ corrections on holographic complexity growth within the framework of the Complexity=Action(CA) conjecture. By introducing a probe string into Gauss-Bonnet(GB) $AdS$ black brane background, we analyze the…

High Energy Physics - Phenomenology · Physics 2025-07-29 Wen-Bin Chang

In this work we consider a spacial kind of spacetime called AdS accelerating black holes. This is a kind of black holes which contain a stringlike singularity along polar axises attached to the black hole and it accelerates the black hole.…

High Energy Physics - Theory · Physics 2023-05-10 Koichi Nagasaki

This work investigates the influence of a probe string on the complexity of braneworld according to the CA (Complexity equals action) conjecture within the Horndeski gravity. In the current study, it is considered that scalar fields that…

High Energy Physics - Theory · Physics 2023-01-02 Fabiano F. Santos , Oleksii Sokoliuk , Alexander Baransky

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

A generalized action for strings which is a sum of the Nambu-Goto and the extrinsic curvature (the energy integral of the surface) terms, is used to couple strings to gravity. It is shown that the conical singularity has deficit angle that…

High Energy Physics - Theory · Physics 2009-10-30 R. Parthasarathy , K. S. Viswanathan

In four dimensions, we consider a generalized scalar-tensor theory where the coupling functions only depend on the kinetic term of the scalar field. For this model, we obtain a set of hairy Anti-de-Sitter black hole solutions, allowing us…

High Energy Physics - Theory · Physics 2022-01-27 Moisés Bravo-Gaete , F. F. Santos

In this paper, we investigate the complexity growth of the tensionless limit of string in the neutral BTZ black hole horizon in massive gravity. When the string approaches the horizon, we observe a novel phenomenon for the Nambu-Goto action…

High Energy Physics - Theory · Physics 2023-12-08 Yu-Ting Zhou

In this work we consider a spacial kind of spacetime called AdS accelerating black holes. This is a kind of black holes which contain a stringlike singularity along polar axises attached to the black hole and it accelerates the black hole.…

High Energy Physics - Theory · Physics 2021-08-13 Koichi Nagasaki

Using "complexity=action" proposal we study complexity growth of certain gravitational theories containing higher derivative terms. These include critical gravity in diverse dimensions. One observes that the complexity growth for neutral…

High Energy Physics - Theory · Physics 2017-05-30 Mohsen Alishahiha , Amin Faraji Astaneh , Ali Naseh , M. H. Vahidinia

We study the general time dependence of complexity for holographic states dual to Lovelock black holes using the "Complexity=Action" (CA) proposal. We observe that at early times, the critical time at which the complexity begins to increase…

High Energy Physics - Theory · Physics 2019-10-30 Zhong-Ying Fan , Hua-Zhi Liang

In this paper, we use the "complexity equals action" (CA) conjecture to explore the switchback effect in the strongly-coupled quantum field theories with finite $N$ and finite coupling effects. In the perspective of holography, this is…

High Energy Physics - Theory · Physics 2020-04-22 Jie Jiang , Zhaohui Chen , Chengcheng Liu

The concept of the quantized space-time of the formless finite fundamental elements is suggested. This space-time can be defined as a set of continual space-time coverings by simply connected non-overlapping regions of any form and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Serge B. Afanas'ev

Using the ``complexity equals action''(CA) conjecture, for an ordinary charged system, it has been shown that the late-time complexity growth rate is given by a difference between the value of $\Phi_{H}Q+\Omega_H J$ on the inner and outer…

High Energy Physics - Theory · Physics 2021-10-22 Shun Jiang , Jie Jiang

The "complexity = action" duality states that the quantum complexity is equal to the action of the stationary AdS black holes within the Wheeler-DeWitt patch at late time approximation. We compute the action growth rates of the neutral and…

General Relativity and Quantum Cosmology · Physics 2018-02-27 Wen-Di Guo , Shao-Wen Wei , Yan-Yan Li , Yu-Xiao Liu

Quantum complexity is conjectured to probe inside of black hole horizons (or wormhole) via gauge gravity correspondence. In order to have a better understanding of this correspondence, we study time evolutions of complexities for generic…

High Energy Physics - Theory · Physics 2018-04-11 Koji Hashimoto , Norihiro Iizuka , Sotaro Sugishita

In this paper, we use the "complexity equals action" (CA) conjecture to evaluate the holographic complexity in some multiple-horzion black holes for F(Riemann) gravity coupled to a first-order source-free electrodynamics. Motivated by the…

High Energy Physics - Theory · Physics 2020-02-26 Jie Jiang , Ming Zhang

The interaction between a Nambu-Goto string and a Kerr black hole gives one of the methods of energy extraction from a rotating black hole. Although the properties of such processes have been well studied for rigidly rotating strings,…

General Relativity and Quantum Cosmology · Physics 2026-04-23 Hirotaka Yoshino , Kousuke Tanaka

Based on the complexity equals action (CA) and complexity equals volume (CV) conjectures, we investigate the holographic complexity of a slowly accelerating Kerr-AdS black hole in the bulk Einstein gravity theory which is dual to…

High Energy Physics - Theory · Physics 2023-02-08 Ming Zhang , Chaoxi Fang , Jie Jiang
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