Cosmological singularities, holographic complexity and entanglement

A bstract We study holographic volume complexity for various families of holographic cosmologies with Kasner-like singularities, in particular with AdS, hyperscaling violating and Lifshitz asymptotics. We find through extensive numerical studies that the complexity surface always bends in the direct...

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Bibliographic Details
Published in:The journal of high energy physics 2024-07, Vol.2024 (7), p.125-42, Article 125
Main Authors: Narayan, K., Saini, Hitesh K., Yadav, Gopal
Format: Article
Language:English
Subjects:
2D Gravity
Bends
Black holes
Classical and Quantum Gravitation
Complexity
Elementary Particles
Entanglement
Entropy
Gauge-Gravity Correspondence
Holography
Numerical analysis
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Singularities
Spacetime
Spacetime Singularities
String Theory
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Summary:A bstract We study holographic volume complexity for various families of holographic cosmologies with Kasner-like singularities, in particular with AdS, hyperscaling violating and Lifshitz asymptotics. We find through extensive numerical studies that the complexity surface always bends in the direction away from the singularity and transitions from spacelike near the boundary to lightlike in the interior. As the boundary anchoring time slice approaches the singularity, the transition to lightlike is more rapid, with the spacelike part shrinking. The complexity functional has vanishing contributions from the lightlike region so in the vicinity of the singularity, complexity is vanishingly small, indicating a dual Kasner state of vanishingly low complexity, suggesting an extreme thinning of the effective degrees of freedom dual to the near singularity region. We also develop further previous studies on extremal surfaces for holographic entanglement entropy, and find that in the IR limit they reveal similar behaviour as complexity.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP07(2024)125