Complexity as a holographic probe of strong cosmic censorship

Alishahiha, Mohsen; Banerjee, Souvik; Kames-King, Joshua; Loos, Emma

doi:10.1103/physrevd.105.026001

Cited by 5 publications

(4 citation statements)

References 42 publications

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“…Note that the disk contribution is proportional to e S 0 whereas the above contribution is given in terms of the number of branes κ, therefore one might naively expect an interesting competition between κ and e S 0 that is similar to that of entanglement entropy. We hope to report the final conclusion, both for the two-sided and one-sided black hole geometries, soon [64]. We expect this computation to shed light on the physical interpretation of the replica procedure we employed to compute complexity.…”

Section: Discussionmentioning

confidence: 75%

Complexity via Replica Trick

Alishahiha,

Banerjee,

Kames-King

2022

Preprint

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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 using a modified replica trick corresponding to the "quenched geodesic length" in JT gravity. The late time behaviour of complexity shows a saturation to a constant value of order e S 0 following a period of linear growth. Furthermore, we show that our approach leads to an improved result for the variance of complexity, namely it being time-independent at late times. We conclude by commenting on the introduction of dynamical end-of-the-world branes.

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Section: Discussionmentioning

confidence: 75%

Complexity via Replica Trick

Alishahiha,

Banerjee,

Kames-King

2022

Preprint

Self Cite

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“…Thus, it would be an interesting topic to investigate the preservation of the T-duality for the feature of the SCC at the quantum level, i.e. whether the effect of quantum perturbations in the 3dBS on the SCC is the same as that in the BTZ black hole [31,[48][49][50][51]. We leave this topic for a future work.…”

Section: Jhep08(2022)018mentioning

confidence: 98%

Investigations of strong cosmic censorship in 3-dimensional black strings

Kim

Lee

2022

J. High Energ. Phys.

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Investigating the quasinormal modes of a massive scalar field on the 3-dimensional black string (3dBS), we study the strong cosmic censorship (SCC) conjecture for the 3dBS in the T-dual relationship with the 3-dimensional rotating anti-de-Sitter (BTZ) black hole. It is shown that even though geometries of the two spacetimes are quite different, such as asymptotically AdS for the BTZ black hole and asymptotically flat for the 3dBS, the BTZ black hole and the 3dBS share similar properties for the SCC. Concretely speaking, the SCC conjecture can be violated even for asymptotically flat spacetime, i.e. the 3dBS. These observations lead us to an assumption that the T-dual transformation preserves spacetime symmetries, at least, which are relevant to the SCC. In addition, we find a new feature of the quasinormal mode at the Cauchy horizon: in the case of in the 3dBS, the spectral gap, αBS at the Cauchy horizon is not determined by the ‘ω-frequency mode’, but the ‘m-frequency mode’.

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“…It should be pointed out that volume-complexity 1 was also introduced for some subregions in the bulk spacetime such as in a region [11,12] enclosed by a (H)RT hypersurface [13,14] or inside a Wheeler-DeWitt (WDW) patch [15]. 2 Various aspects of the CV and CA proposals have been explored extensively in the literature such as: subregion complexity [52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67], complexity of formation [21,[68][69][70], in Jackiw-Teitelboim gravity [71][72][73], for higher derivative gravity [74][75][76], for Kerr-AdS black holes [69,77], at finite radial cutoff [72,[78][79][80][81][82], structure of the UV divergent terms [62,70,[83][84][85], regularization methods [70,…”

Section: Jhep01(2023)105mentioning

confidence: 99%

Generalized volume-complexity for two-sided hyperscaling violating black branes

Omidi

2023

J. High Energ. Phys.

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In this paper, we investigate generalized volume-complexity $$ \mathcal{C} $$ C gen for a two-sided uncharged HV black brane in d + 2 dimensions. This quantity which was recently introduced in [48], is an extension of volume in the Complexity=Volume (CV) proposal, by adding higher curvature corrections with a coupling constant λ to the volume functional. We numerically calculate the growth rate of $$ \mathcal{C} $$ C gen for different values of the hyperscaling violation exponent θ and dynamical exponent z. It is observed that $$ \mathcal{C} $$ C gen always grows linearly at late times provided that we choose λ properly. Moreover, it approaches its late time value from below. For the case λ = 0, we find an analytic expression for the late time growth rate for arbitrary values of θ and z. However, for λ ≠ 0, the late time growth rate can only be calculated analytically for some specific values of θ and z. We also examine the dependence of the growth rate on d, θ, z and λ. Furthermore, we calculate the complexity of formation obtained from volume-complexity and show that it is not UV divergent. We also examine its dependence on the thermal entropy and temperature of the black brane. At the end, we also numerically calculate the growth rate of $$ \mathcal{C} $$ C gen for the case where the higher curvature corrections are a linear combination of the Ricci scalar, square of the Ricci tensor and square of the Riemann tensor. We show that for appropriate values of the coupling constants, the late time growth rate is again linear.

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Complexity as a holographic probe of strong cosmic censorship

Cited by 5 publications

References 42 publications

Complexity via Replica Trick

Complexity via Replica Trick

Investigations of strong cosmic censorship in 3-dimensional black strings

Generalized volume-complexity for two-sided hyperscaling violating black branes

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