Action growth for AdS black holes

  title={Action growth for AdS black holes},
  author={Rong-gen Cai and Shan-Ming Ruan and Shao-Jiang Wang and Run-Qiu Yang and Rong-Hui Peng},
  journal={Journal of High Energy Physics},
A bstractRecently a Complexity-Action (CA) duality conjecture has been proposed, which relates the quantum complexity of a holographic boundary state to the action of a Wheeler-DeWitt (WDW) patch in the anti-de Sitter (AdS) bulk. In this paper we further investigate the duality conjecture for stationary AdS black holes and derive some exact results for the growth rate of action within the Wheeler-DeWitt (WDW) patch at late time approximation, which is supposed to be dual to the growth rate of… 

Holographic complexity growth for a charged AdS-dilaton black holes with fixed and dynamical boundary respectively

The holographic complexity conjectures are considered in a Einstein-Maxwell-Dilaton gravity, by using the "Complexity-Volume" proposal. Specifically, we calculate the growth rate of complexity for an

Holographic complexity and thermodynamics of AdS black holes

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

Investigating the complexity-equals-action conjecture in regular magnetic black holes

In this paper, we investigate the ‘complexity equals action’ conjecture in regular magnetic black holes for the Einstein gravity coupled to the nonlinear electrodynamics. Motivated by the result of

Holographic complexity of charged Taub-NUT-AdS black holes

In this paper, we investigate the holographic complexity in the charged Taub-NUT-AdS black holes with Misner strings present in the Einstein-Maxwell gravity. We show that differing from the normal

Noether charge, black hole volume, and complexity

A bstractIn this paper, we study the physical significance of the thermodynamic volumes of AdS black holes using the Noether charge formalism of Iyer and Wald. After applying this formalism to study

On the time dependence of holographic complexity for charged AdS black holes with scalar hair

A study of the time-dependence of holographic complexity, both for the volume and for the action proposals, in a class of models with hairy black holes, finds that the Lloyd bound is satisfied by the asymptotic action complexity rate in all the parameter space that was investigated.

Holographic complexity for black branes with momentum relaxation

We employ the "complexity equals action" conjecture to investigate the action growth rate for charged and neutral AdS black branes of a holographic toy model consisting of Einstein-Maxwell theory in

Reparametrization dependence and holographic complexity of black holes

We refine the calculation of holographic complexity of black holes in the complexity equals action approach by applying the recently introduced criterion that the action of any causal diamond in

Holographic complexity of the electromagnetic black hole

In this paper, we use the “complexity equals action” (CA) conjecture to evaluate the holographic complexity in some multiple-horzion black holes for the gravitational theory coupled to a first-order

Holographic complexity in charged supersymmetric black holes

For an ordinary charged system, it has been shown that by using the “complexity equals action” (CA) conjecture, the late-time growth rate of the holographic complexity is given by a difference



Thermodynamics of black hole horizons and Kerr/CFT correspondence

A bstractIn this paper we investigate the thermodynamics of the inner horizon and its implication on the holographic description of the black hole. We focus on the black holes with two physical

Thermodynamics of Kerr-Newman-AdS black holes and conformal field theories

We study the thermodynamics of four-dimensional Kerr-Newman-AdS black holes both in the canonical and the grand-canonical ensemble. The stability conditions are investigated, and the complete phase

RN/CFT correspondence from thermodynamics

A bstractRecent studies suggest that in the Kerr/CFT correspondence, much universal information of the dual CFT, including the central charges and the temperatures, is fully encoded in the

Holographic Complexity Equals Bulk Action?

The hypothesis that black holes are the fastest computers in nature is discussed and the conjecture that the quantum complexity of a holographic state is dual to the action of a certain spacetime region that is called a Wheeler-DeWitt patch is illustrated.

Gauss-Bonnet black holes in AdS spaces

We study the thermodynamic properties and phase structures of topological black holes in Einstein theory with a Gauss-Bonnet term and a negative cosmological constant. The event horizon of these

Time evolution of entanglement entropy from black hole interiors

A bstractWe compute the time-dependent entanglement entropy of a CFT which starts in relatively simple initial states. The initial states are the thermofield double for thermal states, dual to

The Lovelock Black Holes

Lovelock theory is a natural extension of Einstein theory of gravity to higher dimensions, and it is of great interest in theoretical physics as it describes a wide class of models. In particular, it

Charged Rotating Black Hole in Three Spacetime Dimensions

The generalization of the black hole in three-dimensional spacetime to include an electric charge Q in addition to the mass M and the angular momentum J is given. The field equations are first solved

Inner Mechanics of 3d Black Holes

We investigate properties of the inner horizons of certain black holes in higher-derivative three-dimensional gravity theories. We focus on Banados-Teitelboim-Zanelli and spacelike warped anti-de

The first law of thermodynamics for Kerr–anti-de Sitter black holes

We obtain expressions for the mass and angular momenta of rotating black holes in anti-de Sitter backgrounds in four, five and higher dimensions. We verify explicitly that our expressions satisfy the