Towards spinfoam cosmology

Eugenio Bianchi, Carlo Rovelli, Francesca Vidotto

Research output: Contribution to journalArticlepeer-review

104 Scopus citations

Abstract

We compute the transition amplitude between coherent quantum states of geometry peaked on homogeneous-isotropic metrics. We work in the context of pure gravity without matter, we use the holomorphic representations of loop quantum gravity and the Kaminski-Kisielowski-Lewandowski generalization of the new vertex, and work at first order in the vertex expansion, second order in the graph (multipole) expansion, and first order in volume⊃-1. We show that the resulting amplitude is in the kernel of a differential operator whose classical limit is the canonical Hamiltonian of a Friedmann-Robertson-Walker cosmology. This result is an indication that the dynamics of loop quantum gravity defined by the new vertex reproduces the gravity part of the Friedmann equation in the appropriate limit.

Original languageEnglish (US)
Article number084035
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume82
Issue number8
DOIs
StatePublished - Oct 20 2010

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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