Action growth for AdS black holes

@article{Cai2016ActionGF,
  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},
  year={2016},
  volume={2016},
  pages={1-23}
}
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… 

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References

SHOWING 1-10 OF 47 REFERENCES

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