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Anti-de Sitter universe dynamics in loop quantum cosmology

AutorBentivegna, Eloisa; Pawlowski, Tomasz
Palabras clave[PACS] Lower dimensional and minisuperspace models in quantum gravity
[PACS] Semiclassical theories and applications in quantum mechanics
[PACS] Loop quantum gravity, quantum geometry, spin foams
[PACS] Quantum cosmology
Fecha de publicación18-jun-2008
EditorAmerican Physical Society
CitaciónPhysical Review D, 77 (12), id. 124025 (2008)
ResumenA model for a flat isotropic universe with a negative cosmological constant Lambda and a massless scalar field as sole matter content is studied within the framework of loop quantum cosmology. By application of the methods introduced for the model with Lambda=0, the physical Hilbert space and the set of Dirac observables are constructed. As in that case, the scalar field plays here the role of an emergent time. The properties of the system are found to be similar to those of the k=1 Friedmann-Robertson-Walker (FRW) model: for small energy densities, the quantum dynamics reproduces the classical one, whereas, due to modifications at near-Planckian densities, the big bang and big crunch singularities are replaced by a quantum bounce connecting deterministically the large semiclassical epochs. Thus in loop quantum cosmology the evolution is qualitatively cyclic.
Descripción17 pags. ; 11 figs. ; appendix A-B
Versión del editorhttp://dx.doi.org/10.1103/PhysRevD.77.124025
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