CLASSICAL AND QUANTUM FEATURES OF THE MIXMASTER SINGULARITY
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Publication:3528806
DOI10.1142/S0217751X08040275zbMath1153.83005arXiv0712.3008OpenAlexW3101064262MaRDI QIDQ3528806
Riccardo Benini, Giovanni Imponente, Marco Valerio Battisti, Giovanni Montani
Publication date: 17 October 2008
Published in: International Journal of Modern Physics A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0712.3008
Relativistic cosmology (83F05) Quantization of the gravitational field (83C45) Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory (83-02) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)
Related Items (15)
Spike statistics ⋮ A generalized Kasner transition for bouncing Bianchi I models in modified gravity theories ⋮ Features of the primordial Universe in f(R)-gravity as viewed in the Jordan frame ⋮ Complexity=anything: singularity probes ⋮ The limit dynamics for the vacuum Einstein equations in a homogeneous universe ⋮ Bianchi \(V I I _{A }\) solutions of effective quadratic gravity ⋮ Singularity-free and non-chaotic inhomogeneous mixmaster in polymer representation for the volume of the universe ⋮ REFLECTIONS ON THE HYPERBOLIC PLANE ⋮ A quantum gravity extension to the Mixmaster dynamics ⋮ NONCOMMUTATIVE MIXMASTER COSMOLOGIES ⋮ BIANCHI I SOLUTIONS OF EFFECTIVE QUADRATIC GRAVITY ⋮ ON THE COSMOLOGICAL SINGULARITY IN GENERAL RELATIVITY ⋮ On the dynamics of Bianchi IX cosmological models ⋮ Black hole final state conspiracies ⋮ Applying chaos indicators to Bianchi cosmological models
Cites Work
- A Bianchi type II cosmological model of Petrov type D representing an imperfect fluid with a source-free magnetic field
- Cosmological billiards
- Quasi-isotropic solution of the Einstein equations near a cosmological singularity for a two-fluid cosmological model
- Nonlinear electrodynamics in Bianchi spacetimes
- The Bianchi type I minisuperspace model
- Self-similar Bianchi models: I. Class A models
- Hunting local Mixmaster dynamics in spatially inhomogeneous cosmologies
- Anisotropy in Bianchi-type brane cosmologies
- Homogeneous loop quantum cosmology: the role of the spin connection
- Supersymmetric Bianchi type IX cosmology
- Integrability, Monodromy Evolving Deformations, and Self-Dual Bianchi IX Systems
- Cosmological perturbations on a magnetized Bianchi I background
- On the generic cosmological solution in the presence of ultrarelativistic matter and a scalar field
- Quasi-isotropic solution containing an electromagnetic and a real massless scalar field
- Is Barbero's Hamiltonian formulation a gauge theory of Lorentzian gravity?
- SO (4, C )-covariant Ashtekar-Barbero gravity and the Immirzi parameter
- No chaos in brane-world cosmology
- Conditional symmetries and the quantization of Bianchi Type I vacuum cosmologies with and without cosmological constant
- Isotropic loop quantum cosmology
- Self-similar Bianchi models: II. Class B models
- DARK MATTER PREDICTION FROM CANONICAL QUANTUM GRAVITY WITH FRAME FIXING
- BIANCHI TYPE I UNIVERSES WITH CAUSAL BULK VISCOUS COSMOLOGICAL FLUID
- Oscillatory regime in the multidimensional homogeneous cosmological models induced by a vector field
- The speciality index as invariant indicator in the BKL mixmaster dynamics
- Unconstrained Hamiltonian formulation of general relativity with thermo-elastic sources
- On the quasi-isotropic solution in the presence of ultrarelativistic matter and a scalar field
- On the generality of refined algebraic quantization
- Bianchi II magnetic cosmologies
- Phase Space of Compact Bianchi Models with Fluid
- Spin foam models for quantum gravity
- A SCENARIO FOR THE DIMENSIONAL COMPACTIFICATION IN ELEVEN-DIMENSIONAL SPACE–TIME
- Background independent quantum gravity: a status report
- MINISUPERSPACE MODEL FOR REVISED CANONICAL QUANTUM GRAVITY
- Hamiltonian reduction of Bianchi cosmologies
- Searching for invariant description of chaos in general relativity
- Observables and a Hilbert space for Bianchi IX
- On the general behaviour of the universe near the cosmological singularity
- Painleve analysis of the mixmaster universe
- The mixmaster universe model, revisited
- Comment on the `chaotic' singularity in some magnetic Bianchi cosmologies
- Non-integrability of the mixmaster universe
- Nöther Symmetries in Bianchi Universes
- QUANTUM GEOMETRODYNAMICS OF THE BIANCHI-IX MODEL IN EXTENDED PHASE SPACE
- Some exact non-vacuum Bianchi VI 0 and VII 0 instantons
- The initial singularity in solutions of the Einstein–Vlasov system of Bianchi type I
- Quantum spin dynamics: VIII. The master constraint
- Gravitational Collapse and Space-Time Singularities
- Wave function of the Universe
- Inflationary universe: A possible solution to the horizon and flatness problems
- Dynamics of the spatially homogeneous Bianchi type I Einstein–Vlasov equations
- Quantum geometrodynamics of the Bianchi IX cosmological model
- Asymptotic Expansions of the Modified Bessel Function of the Third Kind of Imaginary Order
- Quantum Theory of Gravity. I. The Canonical Theory
- Quantum Theory of Gravity. II. The Manifestly Covariant Theory
- Mixmaster Universe
- Quantum Cosmology. I
- The Einstein Equations of Evolution-A Geometric Approach
- Ideal points in space-time
- Loop quantum gravity: an outside view
- ON THE QUASI-ISOTROPIC INFLATIONARY SOLUTION
- MIXMASTER CHAOTICITY AS SEMICLASSICAL LIMIT OF THE CANONICAL QUANTUM DYNAMICS
- COSMOLOGICAL ISSUES FOR REVISED CANONICAL QUANTUM GRAVITY
- REVISED CANONICAL QUANTUM GRAVITY VIA THE FRAME FIXING
- BIANCHI TYPE I UNIVERSE WITH VISCOUS FLUID
- DUALISM BETWEEN PHYSICAL FRAMES AND TIME IN QUANTUM GRAVITY
- Loop quantum gravity
- Brane-world gravity
- Ocillatory behaviour in homogeneous string cosmology models
- A dynamical systems approach to geodesics in Bianchi cosmologies
- Classical and quantum evolution of the Bianchi type I model
- The asymptotic regimes of tilted Bianchi II cosmologies
- Conditional symmetries, the true degree of freedom and GCT invariant wave functions for the general Bianchi type II vacuum cosmology
- Tunnelling with Bianchi IX instantons
- Mixmaster chaos
- Hyperbolic Kac-Moody algebras and chaos in Kaluza-Klein models
- Isotropization of Bianchi models and a new FRW solution in Brans-Dicke theory
- A dynamical systems approach to geodesics in Bianchi cosmologies
- The big-bang singularity in the framework of a generalized uncertainty principle
- Master constraint operators in loop quantum gravity
- \(\Psi=We^{\pm\Phi}\) quantum cosmological solutions for class \(A\) Bianchi models
- Generalized uncertainty principle in Bianchi type I quantum cosmology
- Asymptotic behaviour of the gravitational field and the nature of singularities in Gowdy spacetimes
- Some homogeneous Bianchi type IX viscous fluid cosmological models with a varying \(\Lambda\)
- Collision-free gases in Bianchi space-times
- A numerical analysis of chaotic behaviour in Bianchi IX models
- Quantum stationary state of class A Bianchi universe
- Nonintegrability of the Bianchi IX model
- Loop quantum cosmology and inhomogeneities
- Quantum effects in ``mixmaster universe.
- Strange attractors that are not chaotic
- Chaos in the long-term behavior of some Bianchi-type VIII models
- The order of chaos on a Bianchi-IX cosmological model
- Bianchi type-I universe in the presence of zero-mass scalar fields
- Bianchi type V models with a matter distribution admitting ansiotropic pressure and heat flow
- On the influence of noise on the Bianchi IX and VIII cosmological models
- Chaos and quantum chaos in cosmological models
- Solitonic gravitational waves in Bianchi II cosmologies. I: The general framework
- Quantum stationary states in the Bianchi universes
- Inhomogeneous generalizations of Bianchi type VI\(_ h\) models with perfect fluid
- A study of variables \(G\) and \(\Lambda\) in Bianchi type II cosmological models
- The birth of strange nonchaotic attractors
- Chaos hidden behind time parametrization in the mixmaster cosmology
- Local integrability of the mixmaster model
- Self-similar Bianchi type VIII and IX models
- Massive scalar field in the Bianchi type I space time
- Asymptotic regimes of magnetic Bianchi cosmologies
- Why there is nothing rather than something: A theory of the cosmological constant
- Automorphism inducing diffeomorphisms, invariant characterization of homogeneous 3-spaces and Hamiltonian dynamics of Bianchi cosmologies
- Canonical quantization of gravity without ``frozen formalism
- The chaotic mixmaster and the suppression of chaos in scalar-tensor cosmologies
- Particle-like behaviour of some Bianchi cosmologies: a fundamental unity in nature?
- Scale invariant theory for Bianchi type VIII and IX space-times with perfect fluid
- The mixmaster universe in five dimensions
- The Bianchi classification in the Schücking-Behr approach
- A class of new Bianchi I perfect fluid space-times
- \(p\)-brane solitons in maximal supergravities
- Isotropization in Bianchi type IX vacuum cosmology
- Generalized expanding and shearing anisotropic Bianchi type I magnetofluid cosmological model in general relativity
- Some Bianchi type I viscous fluid cosmological models with a variable cosmological constant
- Uniqueness of diffeomorphism invariant states on holonomy-flux algebras
- Bianchi type I cosmological model with variable \(\Lambda\)-term
- Isotropisation of flat homogeneous Bianchi type \(I\) model with a non minimally coupled and massive scalar field
- Equilibrium points of the tilted perfect fluid Bianchi \(\text{VI}_h\) state space
- Bianchi type IX asymptotical behaviours with a massive scalar field: chaos strikes back
- The Bianchi models: then and now
- Bianchi type in universe with viscous fluid and a \(\Lambda\) term: a qualitative analysis
- A class of homogeneous cosmological models
- Belinskii–Zakharov formulation for Bianchi models and Painlevé III equation
- Propagators for a Scalar Field in Some Bianchi-Type I Universe
- Chaos in Superstring Cosmology
- Dirac Decomposition of Wheeler-DeWitt Equation in the Bianchi Class A Models
- Quantum cosmological approach to the cosmic no-hair conjecture in the Bianchi type-IX spacetime
- Inflation from Quantum Geometry
- New algorithm for Mixmaster dynamics
- Regge calculus model of Bianchi IX inflation
- Comment about quasi-isotropic solution of Einstein equations near the cosmological singularity
- The Bianchi IX model in loop quantum cosmology
- Semiclassical states in quantum cosmology: Bianchi I coherent states
- Bianchi cosmologies: a tale of two tilted fluids
- All vacuum Bianchi I metrics with a homothety
- The Mixmaster cosmology as a dynamical system
- ON THE ZEROS OF BESSEL FUNCTIONS OF PURE IMAGINARY ORDER
- Bianchi cosmologies: the role of spatial topology
- A geometric description of the intermediate behaviour for spatially homogeneous models
- On (cosmological) singularity avoidance in loop quantum gravity
- Inhomogeneous quantum Mixmaster: from classical towards quantum mechanics
- Bianchi spacetimes in noncommutative phase space
- Algebraic quantum gravity (AQG): I. Conceptual setup
- Algebraic quantum gravity (AQG): II. Semiclassical analysis
- Algebraic quantum gravity (AQG): III. Semiclassical perturbation theory
- A general solution of gravitational equations near their singularities
- Compactified and reduced dynamics for locally rotationally symmetric Bianchi type IX perfect fluid models
- Chaos, entropy and cosmology
- Quantum Nature of the Big Bang
- Invariant families of cones and Lyapunov exponents
- Comment on the two ‘‘new’’ classes of Bianchi type II solutions
- Bianchi type VI0 space-times with perfect fluid source
- On the integrability of Bianchi cosmological models
- Bianchi type IX cosmological models with homogeneous spinor fields
- Singular boundaries of space–times
- On a covariant Hamilton-Jacobi framework for the Einstein-Maxwell theory
- Qualitative analysis of two-fluid Bianchi cosmologies
- Perturbations in Bianchi I universes
- Vacuum-analytic solutions in Bianchi-type universes
- A dynamical systems approach to Bianchi cosmologies: orthogonal models of class B
- Cosmic no-hair theorem in homogeneous spacetimes. I. Bianchi models
- The bundle boundary in some special cases
- Extended dynamics and symmetries in vacuum Bianchi cosmologies
- Extended dynamics and symmetries in perfect fluid Bianchi cosmologies
- On the Space–Time Uncertainty Relations of Liouville Strings and D-Branes
- On the isotropy of the Universe: do Bianchi cosmologies isotropize?
- Painlevé singularity analysis of the perfect fluid Bianchi type-IX relativistic cosmological model
- On the square root of the Laplace--Beltrami operator as a Hamiltonian
- Painleve analysis for the mixmaster universe model
- Stationary Bianchi type II perfect fluid models
- Asymptotic states of magnetic Bianchi I cosmologies
- Global dynamics of the mixmaster model
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