Lattice refining LQC from an isotropic embedding of anisotropic cosmology

William Nelson (1) , Mairi Sakellariadou (2)

1 Institute of Gravitation and the Cosmos
2 Department of Physics

We demonstrate that it is possible to produce different isotropic embeddings of anisotropic Loop Quantum Cosmology, resulting in " lattice refinement " of the isotropic system. To introduce the general approach, we first use a simple model with only two anisotropic directions. We then employ the specific case of a Bianchi I model, to show how the method extends to three-dimensional systems. To concisely calculate the step-size of the resulting isotropic state, we define the " symmetric dual " of states and operators, for the two- and three-dimensional systems, respectively.

Mots clés: 04.60.Kz; 04.60.Pp; 98.80.Qc

William Nelson, Mairi Sakellariadou. Lattice refining LQC from an isotropic embedding of anisotropic cosmology. Classical and Quantum Gravity, 2010, 27 (14), pp.145014. ⟨10.1088/0264-9381/27/14/145014⟩. ⟨hal-00610064⟩