Effects of Quintessence Dark Energy on the Action Growth and Butterfly Velocity

Ghaffarnejad, Hossein; Farsam, Mohammad; Yaraie, Emad

doi:10.1155/2020/9529356

Cited by 18 publications

(16 citation statements)

References 39 publications

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“…The bulk action for a RN-AdS black hole surrounded by quintessence dark energy in four dimensional curved space time could be described as follows [33,34]…”

Section: A Black Hole Solutionmentioning

confidence: 99%

Thermodynamics and weak cosmic censorship conjecture in the charged RN-AdS black hole surrounded by quintessence under the scalar field

Hong

Tao

2019

Nuclear Physics B

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In this paper, we study the thermodynamics and the weak cosmic censorship conjecture of the RN-AdS black hole surrounded by the quintessence under the scattering of a charged complex scalar field. With scalar field scattering, the variation of the black hole is calculated in the extended and normal phase spaces. In the extended phase space, the cosmological constant and the normalization parameter are considered as thermodynamic variables, and the first law of thermodynamics is valid, but the second law of thermodynamics is not valid. In the normal phase space, the cosmological constant and the normalization parameter are fixed, and the first and second laws of thermodynamics can also be satisfied. Furthermore, the weak cosmic censorship conjecture is both valid in the extended and normal phase spaces.

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“…The bulk action for a RN-AdS black hole surrounded by quintessence dark energy in four dimensional curved space time could be described as follows [33,34]…”

Section: A Black Hole Solutionmentioning

confidence: 99%

Thermodynamics and weak cosmic censorship conjecture in the charged RN-AdS black hole surrounded by quintessence under the scalar field

Hong

Tao

2019

Nuclear Physics B

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“…One is the "complexity = volume" (CV) conjecture [5,6] and the other is the "complexity = action" (CA) conjecture [7,8]. These conjectures attracted considerable attentions and many works have been done to investigate the properties of holographic complexity associated with these two conjectures [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28] and to further generalize these two conjectures [29,30,[32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Holographic complexity bounds

Liu

Lü

et al. 2020

J. High Energ. Phys.

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We study the action growth rate in the Wheeler-DeWitt (WDW) patch for a variety of D ≥ 4 black holes in Einstein gravity that are asymptotic to the anti-de Sitter spacetime, with spherical, toric and hyperbolic horizons, corresponding to the topological parameter k = 1, 0, −1 respectively. We find a lower bound inequality 1 T ∂İ WDW ∂S Q,P th > C for k = 0, 1, where C is some order-one numerical constant. The lowest number in our examples is C = (D − 3)/(D − 2). We also find that the quantity (İ WDW − 2P th ∆V th) is greater than, equal to, or less than zero, for k = 1, 0, −1 respectively. For black holes with two horizons, ∆V th = V + th − V − th , i.e. the difference between the thermodynamical volumes of the outer and inner horizons. For black holes with only one horizon, we introduce a new concept of the volume V 0 th of the black hole singularity, and define ∆V th = V + th − V 0 th. The volume V 0 th vanishes for the Schwarzschild black hole, but in general it can be positive, negative or even divergent. For black holes with single horizon, we find a relation betweeṅ I WDW and V 0 th , which implies that the holographic complexity preserves the Lloyd's bound for positive or vanishing V 0 th , but the bound is violated when V 0 th becomes negative. We also find explicit black hole examples where V 0 th and henceİ WDW are divergent.

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“…See the generalizations of the conjectures to CV 2.0 and CA2.0 in [17][18][19]. Others see [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38].…”

Section: Introductionmentioning

confidence: 99%

Holographic subregion complexity in Einstein-Born-Infeld theory

2019

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We numerically investigate the evolution of the holographic subregion complexity during a quench process in Einstein-Born-Infeld theory. Based on the subregion CV conjecture, we argue that the subregion complexity can be treated as a probe to explore the interior of the black hole. The effects of the nonlinear parameter and the charge on the evolution of the holographic subregion complexity are also investigated. When the charge is sufficiently large, it not only changes the evolution pattern of the subregion complexity, but also washes out the second stage featured by linear growth.

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Effects of Quintessence Dark Energy on the Action Growth and Butterfly Velocity

Cited by 18 publications

References 39 publications

Thermodynamics and weak cosmic censorship conjecture in the charged RN-AdS black hole surrounded by quintessence under the scalar field

Thermodynamics and weak cosmic censorship conjecture in the charged RN-AdS black hole surrounded by quintessence under the scalar field

Holographic complexity bounds

Holographic subregion complexity in Einstein-Born-Infeld theory

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