Lattice refining loop quantum cosmology, anisotropic models and stability

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dc.creatorBojowald, Martin
dc.creatorCartin, Daniel
dc.creatorKhanna, Gaurav
dc.date2007-04-09
dc.date.accessioned2026-07-07T11:20:12Z
dc.date.available2026-07-07T11:20:12Z
dc.descriptionA general class of loop quantizations for anisotropic models is introduced and discussed, which enhances loop quantum cosmology by relevant features seen in inhomogeneous situations. The main new effect is an underlying lattice which is being refined during dynamical changes of the volume. In general, this leads to a new feature of dynamical difference equations which may not have constant step-size, posing new mathematical problems. It is discussed how such models can be evaluated and what lattice refinements imply for semiclassical behavior. Two detailed examples illustrate that stability conditions can put strong constraints on suitable refinement models, even in the absence of a fundamental Hamiltonian which defines changes of the underlying lattice. Thus, a large class of consistency tests of loop quantum gravity becomes available. In this context, it will also be seen that quantum corrections due to inverse powers of metric components in a constraint are much larger than they appeared recently in more special treatments of isotropic, free scalar models where they were artificially suppressed.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/0704.1137
dc.identifierhttp://arxiv.org/abs/0704.1137
dc.identifierPhys.Rev.D76:064018,2007
dc.identifierdoi:10.1103/PhysRevD.76.064018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193889
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleLattice refining loop quantum cosmology, anisotropic models and stability
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