Kinematical uniqueness of homogeneous isotropic LQC

DOI10.1088/0264-9381/34/1/014001zbMath1354.83022arXiv1604.08199OpenAlexW3098336583MaRDI QIDQ2957162

Maximilian Hanusch, Jonathan Engle

Publication date: 25 January 2017

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.08199

zbMATH Keywords

symmetry reductionloop quantum cosmologyuniqueness of measure

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Quantum field theory on curved space or space-time backgrounds (81T20) Quantization of the gravitational field (83C45) Issues of holonomy in differential geometry (53C29)

Related Items (7)

Analysing (cosmological) singularity avoidance in loop quantum gravity using U (1)3 coherent states and Kummer’s functions ⋮ Uniqueness of the representation in homogeneous isotropic LQC ⋮ Loop quantization and symmetry: configuration spaces ⋮ Diffeomorphism invariant cosmological sector in loop quantum gravity ⋮ Manifolds of Mappings for Continuum Mechanics ⋮ Half-Lie groups ⋮ On a class of regular Fréchet-Lie groups

Cites Work

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• Invariant connections in loop quantum gravity
• Quantum nature of the big bang: Improved dynamics
• Uniqueness of measures in loop quantum cosmology
• Diffeomorphism covariant representations of the holonomy-flux  -algebra
• Background independent quantum gravity: a status report
• Embedding loop quantum cosmology without piecewise linearity
• Modern Canonical Quantum General Relativity
• Quantum Gravity
• Measure and integration theory
• Loop quantum cosmology

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