2006/11/21 by Martin Bojowald, Hector Hernandez, Héctor H. Hernández +2
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Geometry #Hořava–Lifshitz gravity #Limit (mathematics) #Loop (graph theory) #Loop quantum gravity #Mathematical analysis #Mathematics #Metric (unit) #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum dynamics #Quantum gravity #Quantum mechanics #Quantum process #Scalar (mathematics) #Space (punctuation) #Spin foam #Theoretical physics #astro-ph #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.75.064022
published as Phys.Rev.D75:064022,2007 · 44 pages, 6 figures
arxiv created 2006/11/21 · openalex publication_date 2007/03/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.