Canonical Quantum Gravity

DOI10.1142/8957zbMath1298.83002OpenAlexW4236200159MaRDI QIDQ2875208

Francesco Cianfrani, Orchidea Maria Lecian, M. Lulli, Giovanni Montani

Publication date: 14 August 2014

Full work available at URL: https://doi.org/10.1142/8957

zbMATH Keywords

HamiltonianWheeler-DeWitt equationgeneral relativityquantum dynamicsLagrangian approachhomogeneous Bianchi modelsEinstein's theoryloop quantum gravitycanonical quantum gravitynon-abelian gauge theoriesuniverse evolutionstandard cosmological modelcanonical quantum cosmologyAshtekar-Barbero-Immirzi variablescanonical approach to quantum mechanicsconstrained dynamical systeminflationary mechanism

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on curved space or space-time backgrounds (81T20) Geometrodynamics and the holographic principle (83E05) Gravitational interaction in quantum theory (81V17) Quantization of the gravitational field (83C45) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory (83-02) Gravitational energy and conservation laws; groups of motions (83C40) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Exact solutions to problems in general relativity and gravitational theory (83C15) Astrophysical cosmology (85A40)

Related Items (7)

Features of the primordial Universe in f(R)-gravity as viewed in the Jordan frame ⋮ Shape dynamical loop gravity from a conformal Immirzi parameter ⋮ Generalized Ashtekar variables for Palatini \(f(\mathcal{R})\) models ⋮ Singularity-free and non-chaotic inhomogeneous mixmaster in polymer representation for the volume of the universe ⋮ Bianchi I model as a prototype for a cyclical Universe ⋮ Spin connection as Lorentz gauge field in Fairchild’s action ⋮ Gravitational quantum states as finite representations of the Lorentz group

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