2017/03/31 by Norbert Bodendorfer, Andreas Schäfer, John Schliemann
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Canonical quantum gravity #Classical mechanics #Cosmology and Gravitation Theories #Covariant transformation #Curvature #General relativity #Geometry #Hořava–Lifshitz gravity #Loop quantum gravity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum dynamics #Quantum gravity #Quantum mechanics #Quantum process #Theoretical physics #gr-qc
paper · pdf · doi:10.1103/physrevd.97.084057
published as Phys. Rev. D 97, 084057 (2018) · 12 pages; v2: journal version, minor clarifications
openalex publication_date 2018/04/30 · arxiv created 2018/06/20 · arxiv updated 2018/06/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Chamseddine and Mukhanov recently proposed a modified version of general relativity that implements the idea of a limiting curvature. In the spatially flat, homogeneous, and isotropic sector, their theory turns out to agree with the effective dynamics of the simplest version of loop quantum gravity if one identifies their limiting curvature with a multiple of the Planck curvature. At the same time, it extends to full general relativity without any symmetry assumptions and thus provides an ideal toy model for full loop quantum gravity in the form of a generally covariant effective action known to all orders. In this paper, we study the canonical structure of this theory and point out some interesting lessons for loop quantum gravity. We also highlight in detail how the two theories are connected in the spatially flat, homogeneous, and isotropic sector.