Noncovariance of the dressed-metric approach in loop quantum cosmology

2020/02/12 by Martin Bojowald · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Covariance #Degrees of freedom (physics and chemistry) #Engineering #Hypersurface #Infinitesimal #Loop (graph theory) #Loop quantum cosmology #Loop quantum gravity #Mathematical analysis #Mathematics #Metric (unit) #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum #Quantum cosmology #Quantum gravity #Quantum mechanics #Theoretical physics #gr-qc

paper · pdf · doi:10.1103/physrevd.102.023532

published as Phys. Rev. D 102, 023532 (2020) · 19 pages, 1 figure

arxiv created 2020/02/12 · openalex publication_date 2020/07/20 · arxiv updated 2020/07/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

The dressed-metric approach is shown to violate general covariance by demonstrating that it cannot have an off-shell completion in which the correct infinitesimal relations of space-time hypersurface deformations are realized. The main underlying reason---a separation of background degrees of freedom and modes of inhomogeneity that is incompatible with covariance---is shared with other approaches such as hybrid loop quantum cosmology.

Citations

• Generalized Hamiltonian Dynamics
• Loop quantization of the Schwarzschild black hole
• Gauge-invariant perturbation theory for trans-Planckian inflation
• The theory of gravitation in Hamiltonian form
• The Gravity Lagrangian According to Solar System Experiments
• Quantum field theory on a cosmological, quantum space-time
• Hybrid quantum Gowdy cosmology: Combining loop and Fock quantizations
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• A change of perspective: switching quantum reference frames via a perspective-neutral framework
• Groupoid symmetry, constraints and quantization of General Relativity

Cited by

• Hybrid Loop Quantum Cosmology: An Overview