Non-covariance of the dressed-metric approach in loop quantum cosmology

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.

19 pages, 1 figure

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Cited by in corpus (20)

• Critical evaluation of common claims in loop quantum cosmology
• A no-go result for covariance in models of loop quantum gravity
• Hybrid Loop Quantum Cosmology: An Overview
• Anomaly-free deformations of spherical general relativity coupled to matter
• Symmetries of the Black Hole Interior and Singularity Regularization
• Quantum dynamics of the black hole interior in LQC
• Non-covariance of "covariant polymerization" in models of loop quantum gravity
• Canonical description of cosmological backreaction
• Holonomy and inverse-triad corrections in spherical models coupled to matter
• Loop quantum gravity, signature change, and the no-boundary proposal
• Loop quantum cosmology: relation between theory and observations
• Primordial regular black holes as all the dark matter. III. Covariant canonical quantum gravity models
• Inequivalence of mimetic gravity with models of loop quantum gravity
• Space-time physics in background-independent theories of quantum gravity
• Effective $f(R)$ actions for modified Loop Quantum Cosmologies via order reduction
• Cosmic tangle: Loop quantum cosmology and CMB anomalies
• Quasiclassical solutions for static quantum black holes
• Quantum isotropy and the reduction of dynamics in Bianchi I
• Regularization of the cosmological sector of loop quantum gravity with bosonic matter and the related problems with general covariance of quantum corrections
• Black-hole models in loop quantum gravity