Discrete gravity models and loop quantum gravity: a short review

DOI10.3842/SIGMA.2012.052zbMath1270.83015arXiv1204.5394OpenAlexW2103340036WikidataQ125765491 ScholiaQ125765491MaRDI QIDQ352320

Simone Speziale, Maïté Dupuis, James P. Ryan

Publication date: 4 July 2013

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.5394

zbMATH Keywords

Regge calculusloop quantum gravitydiscrete gravityPlebanski actionReggesimplicity constraintstwisted geometries

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Related Items

Closure constraints for hyperbolic tetrahedra, Singular Euler–Maclaurin expansion on multidimensional lattices, The Fock space of loopy spin networks for quantum gravity, Low energy consequences of loop quantum gravity, Fermions, loop quantum gravity and geometry, Bubble networks: framed discrete geometry for quantum gravity, Hamiltonian flows of Lorentzian polyhedra: Kapovich-Millson phase space and SU(1, 1) intertwiners, From the discrete to the continuous: towards a cylindrically consistent dynamics, Towards a double scaling limit for tensor models: probing sub-dominant orders, Area propagator and boosted spin networks in loop quantum gravity, q-deformed 3D loop gravity on the torus, Towards a geometrical interpretation of rainbow geometries, Probing the shape of quantum surfaces: the quadrupole moment operator, Time evolution as refining, coarse graining and entangling, Geometrizing the Klein–Gordon and Dirac equations in doubly special relativity