Non-covariance of the dressed-metric approach in loop quantum cosmology
General Relativity and Quantum Cosmology
2020-07-29 v1
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.
Keywords
Cite
@article{arxiv.2002.04986,
title = {Non-covariance of the dressed-metric approach in loop quantum cosmology},
author = {Martin Bojowald},
journal= {arXiv preprint arXiv:2002.04986},
year = {2020}
}
Comments
19 pages, 1 figure