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Quantization of midisuperspace models (Q533840)

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Language	Label	Description	Also known as
English	Quantization of midisuperspace models	scientific article

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scholarly article

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Quantization of midisuperspace models (English)

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J. Fernando Barbero G.

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Eduardo J. S. Villaseñor

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Living Reviews in Relativity

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publication date

9 May 2011

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full work available at URL

https://arxiv.org/abs/1010.1637

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https://eudml.org/doc/232982

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http://www.livingreviews.org/lrr-2010-6

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MaRDI profile type

MaRDI publication profile

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LARGE QUANTUM GRAVITY EFFECTS: CYLINDRICAL WAVES IN FOUR DIMENSIONS

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Large Quantum Gravity Effects: Unforeseen Limitations of the Classical Theory

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Quantum Geometry and Black Hole Entropy

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Quantum geometry and the Schwarzschild singularity

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SYMMETRY REDUCED EINSTEIN GRAVITY AND GENERALIZED σ AND CHIRAL MODELS

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Isolated and dynamical horizons and their applications

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Background independent quantum gravity: a status report

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Probing quantum gravity through exactly soluble midi-superspaces I

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Bianchi cosmologies: the role of spatial topology

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Loop quantization of the polarized Gowdy model on <i>T</i> <sup>3</sup> : classical theory

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Loop quantization of the polarized Gowdy model on <i>T</i> <sup>3</sup> : kinematical states and constraint operators

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Quantum Einstein–Rosen waves: coherent states and <i>n</i> -point functions

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Hamiltonian dynamics of linearly polarized Gowdy models coupled to massless scalar fields

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Quantum unitary evolution of linearly polarized {\sbb S}^1\times {\sbb S}^2 and {\sbb S}^3 Gowdy models coupled to massless scalar fields

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Asymptotic analysis of field commutators for Einstein–Rosen gravitational waves

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QUANTUM CYLINDRICAL WAVES AND SIGMA MODELS

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Asymptotics of regulated field commutators for Einstein-Rosen waves

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Midi-superspace quantization of non-compact toroidally symmetric gravity

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A new phase for general relativity?

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Quantum effects in the Gowdy \(T^3\) cosmology.

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On ``asymptotically flat'' space-times with \(G_2\)-invariant Cauchy surfaces

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Spherically symmetric quantum geometry: states and basic operators

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Loop quantum cosmology

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Symmetry reduction for quantized diffeomorphism-invariant theories of connections

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The volume operator in spherically symmetric quantum geometry

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Spherically symmetric quantum geometry: Hamiltonian constraint

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Big Bounce and inhomogeneities

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Loop quantization of spherically symmetric midi-superspaces

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Cylindrical waves in general relativity

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Functional evolution of quantum cylindrical waves

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On space-times with U(1)\(\times U(1)\) symmetric compact Cauchy surfaces

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Junction conditions for null hypersurfaces

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Quantum Gowdy <i>T</i> <sup>3</sup> model: a uniqueness result

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ON UNITARY TIME EVOLUTION IN GOWDY T<sup>3</sup> COSMOLOGIES

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Uniqueness of the Fock representation of the Gowdy <i>S</i> <sup>1</sup> × <i>S</i> <sup>2</sup> and <i>S</i> <sup>3</sup> models

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Quantum Theory of Gravity. I. The Canonical Theory

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Quantum Theory of Gravity. II. The Manifestly Covariant Theory

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Dirac-type approach for consistent discretizations of classical constrained theories

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Consistent and mimetic discretizations in general relativity

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On gravitational waves

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Quantum field theory and its symmetry reduction

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The principle of symmetric criticality in general relativity

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Resolving the singularities in the space of Riemannian geometries

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Representations of the Weyl algebra in quantum geometry

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Quantum gravitational collapse in the Lemaitre–Tolman–Bondi model with a positive cosmological constant

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Emergent diffeomorphism invariance in a discrete loop quantum gravity model

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Quantum scalar field in quantum gravity: the vacuum in the spherically symmetric case

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A Method for Generating Solutions of Einstein's Equations

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A Method for Generating New Solutions of Einstein's Equation. II

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The superspace of geometrodynamics

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Schrödinger quantization of linearly polarized Gowdy \protect\bb{S}^{1}\times\protect\bb{S}^{2} and \protect\bb{S}^{3} models coupled to massless scalar fields

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The time-dependent quantum harmonic oscillator revisited: Applications to quantum field theory

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Presymplectic manifolds and the Dirac–Bergmann theory of constraints

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Vacuum spacetimes with two-parameter spacelike isometry groups and compact invariant hypersurfaces: Topologies and boundary conditions

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Embedding variables in the canonical theory of gravitating shells

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Pair of null gravitating shells: I. Space of solutions and its symmetries

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Pair of null gravitating shells: II. Canonical theory and embedding variables

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The stress - energy operator

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QUANTUM THEORY OF SPACE-TIMES WITH ONE KILLING FIELD

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Quantum black holes from null expansion operators

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Quantum resolution of black hole singularities

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The dynamical degrees of freedom in spatially homogeneous cosmology

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Spherically symmetric gravity as a completely integrable system.

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Quantum Gravity

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Hamiltonian evolution and quantization for extremal black holes

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Isomonodromic quantization of dimensionally reduced gravity

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Canonical Quantization of Cylindrical Gravitational Waves with Two Polarizations

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Canonical Quantization of Cylindrical Gravitational Waves

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Uniqueness of diffeomorphism invariant states on holonomy-flux algebras

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Discrete approaches to quantum gravity in four dimensions

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Asymptotic behaviour of cylindrical waves interacting with spinning strings

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Feynman Quantization of General Relativity

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On the bundle of connections and the gauge orbit manifold in Yang-Mills theory

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The Kantowski-Sachs space-time in loop quantum gravity

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Loop quantum black hole

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Black hole interior from loop quantum gravity

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Gravitational collapse in loop quantum gravity

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Reduction of Einstein's equations for vacuum space-times with spacelike U(1) isometry groups

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On a compact Lie group acting on a manifold

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The asymptotic safety scenario in quantum gravity

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The principle of symmetric criticality

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PROBING QUANTUM GENERAL RELATIVITY THROUGH EXACTLY SOLUBLE MIDI-SUPERSPACES II: POLARIZED GOWDY MODELS

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Role of surface integrals in the Hamiltonian formulation of general relativity

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Vacuum spacetimes with toroidal null infinities

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Linear Symmetries of Free Boson Fields

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Some underlying manifolds in the Schwarzschild solution

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Some remarks on the Gribov ambiguity

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Exact Solutions of Einstein's Field Equations

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On the global geometry of spherically symmetric space-times

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Midisuperspace models of canonical quantum gravity

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Observables for the polarized Gowdy model

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Schrödinger representation for the polarized Gowdy model

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Symmetry reduction of quasi-free states

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Functional evolution of free quantum fields

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On the metric operator for quantum cylindrical waves

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Signatures of an emergent gravity from black hole entropy

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General Relativity

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Black-hole thermodynamics and the Euclidean Einstein action

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Identifiers

zbMATH Open document ID

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10.12942/lrr-2010-6

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:533840

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