Vertex Expansion for the Bianchi I model

Details Vertex Expansion for the Bianchi I model Vertex Expansion for the Bianchi I model

2010-07-21

arxiv.org/abs/1007.3723v1

Phys.Rev.D82:064036,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 2 figures

Scientific paper

10.1103/PhysRevD.82.064036

A perturbative expansion of Loop Quantum Cosmological transitions amplitudes of Bianchi I models is performed. Following the procedure outlined in [1,2] for isotropic models, it is shown that the resulting expansion can be written in the form of a series of amplitudes each with a fixed number of transitions mimicking a spin foam expansion. This analogy is more complete than in the isotropic case, since there are now the additional anisotropic degrees of freedom which play the role of `colouring' of the spin foams. Furthermore, the isotropic expansion is recovered by integrating out the anisotropies.

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