Timelike BKL singularities and chaos in AdS/CFT
arXiv:1601.02599 · doi:10.1088/0264-9381/33/12/125020
Abstract
We study the nature of a family of curvature singularities which are precisely the timelike cousins of the spacelike singularities studied by Belinski, Khalatnikov, and Lifshitz (BKL). We show that the approach to the singularity can be modeled by a billiard ball problem on hyperbolic space, just as in the case of BKL. For pure gravity, generic chaotic behavior is retained in (3+1) dimensions, and we provide evidence that it disappears in higher dimensions. We speculate that such singularities, if occurring in AdS/CFT and of the chaotic variety, may be interpreted as (transient) chaotic renormalization group flows which exhibit features reminiscent of chaotic duality cascades.
arXiv comment22 pages plus appendices. v2: references added and relation to earlier work clarified
References in corpus (49)
- The Dynamics of General Relativity
- Black holes and the butterfly effect
- Localized shocks
- Multiple Shocks
- Two-dimensional conformal field theory and the butterfly effect
- Theorems on gravitational time delay and related issues
- The -theorem and the Asymptotics of 4D Quantum Field Theory
- Quiescent cosmological singularities
- E_(10), BE_(10) and Arithmetical Chaos in Superstring Cosmology
- The mixmaster universe is chaotic
- The mixmaster universe: A chaotic Farey tale
- Hyperbolic Kac-Moody Algebras and Chaos in Kaluza-Klein Models
- Spacelike Singularities and Hidden Symmetries of Gravity
- Non-standard compactifications with mass gaps and Newton's law
- Confinement and Condensates Without Fine Tuning in Supergravity Duals of Gauge Theories
- Extremal Surface Barriers
- Einstein billiards and overextensions of finite-dimensional simple Lie algebras
- Chaotic Duality in String Theory
- Chaos in the black hole S-matrix
- Higher order M theory corrections and the Kac-Moody algebra E10
- Supersymmetric quantum cosmological billiards
- Billiard Representation for Multidimensional Cosmology with Multicomponent Perfect Fluid near the Singularity
- Billiard Representation for Multidimensional Cosmology with Intersecting p-branes near the Singularity
- A Hamiltonian Formulation of the BKL Conjecture
- On the Covariance of the Mixmaster Chaoticity
- Holographic Signatures of Cosmological Singularities
- Singularity avoidance in a quantum model of the Mixmaster universe
- Smooth Quantum Dynamics of Mixmaster Universe
- Classical General Relativity
- Hamiltonian General Relativity and the Belinskii, Khalatnikov, Lifshitz Conjecture
- Curvature corrections and Kac-Moody compatibility conditions
- Dilatonic Repulsons and Confinement via the AdS/CFT Correspondence
- Entanglement Entropy Near Cosmological Singularities
- Comments on Cosmic Censorship in AdS/CFT
- Update on Cosmic Censorship Violation in AdS
- Implications of bulk causality for holography in AdS
- Bianchi IX model: Reducing phase space
- Statistical Properties of Cosmological Billiards
- FRW cosmologies and hyperscaling-violating geometries: higher curvature corrections, ultrametricity, Q-space/QFT duality, and a little string theory
- Einstein billiards and spatially homogeneous cosmological models
- Quantum billiards in multidimensional models with fields of forms
- Quantum billiards in multidimensional models with branes
- Gravity duals of cyclic RG flows, with strings attached
- Gravity Dual for Cyclic Renormalization Group Flow without Conformal Invariance
- BKL maps and Poincaré sections
- Timelike singularities and Hamiltonian cosmological billiards
- Anisotropic scale invariant cosmology
- On a debate about cosmic censor violation
- Level spacing distribution for the prototype of the Bianchi IX model
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- Exotic RG Flows from Holography
- Complexity=Anything: Singularity Probes
- Holographic Quantum Scars
- Discrete scale invariance in holography revisited
- Asymptotically AdS spacetimes with a timelike Kasner singularity
- Classical dynamics of the Bianchi IX model with timelike singularity
- Black hole singularities across phase transitions
- Towards Timelike Singularity via AdS Dual
- Kasner-type singularities and solitons with Lifshitz asymptotics