Article Dans Une Revue General Relativity and Gravitation Année : 2009

Cosmological Plebanski theory

Résumé

We consider the cosmological symmetry reduction of the Plebanski action as a toy-model to explore, in this simple framework, some issues related to loop quantum gravity and spin-foam models. We make the classical analysis of the model and perform both path integral and canonical quantizations. As for the full theory, the reduced model admits two types of classical solutions: topological and gravitational ones. The quantization mixes these two solutions, which prevents the model to be equivalent to standard quantum cosmology. Furthermore, the topological solution dominates at the classical limit. We also study the effect of an Immirzi parameter in the model.

Dates et versions

hal-00421875 , version 1 (05-10-2009)

Identifiants

Citer

Karim Noui, Alejandro Perez, Kevin Vandersloot. Cosmological Plebanski theory. General Relativity and Gravitation, 2009, 41, pp.2597-2618. ⟨hal-00421875⟩
80 Consultations
0 Téléchargements

Altmetric

Partager

  • More