Effective constraints of loop quantum gravity

Details Effective constraints of loop quantum gravity Effective constraints of loop quantum gravity

2006-11-21

arxiv.org/abs/gr-qc/0611112v1

Phys.Rev.D75:064022,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

44 pages, 6 figures

Scientific paper

10.1103/PhysRevD.75.064022

Within a perturbative cosmological regime of loop quantum gravity corrections to effective constraints are computed. This takes into account all inhomogeneous degrees of freedom relevant for scalar metric modes around flat space and results in explicit expressions for modified coefficients and of higher order terms. It also illustrates the role of different scales determining the relative magnitude of corrections. Our results demonstrate that loop quantum gravity has the correct classical limit, at least in its sector of cosmological perturbations around flat space, in the sense of perturbative effective theory.

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