Towards a dual formulation of quantum gravity via metric-curvature bijections
General Relativity and Quantum Cosmology
2023-10-03 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We prove that Riemannian metrics in General Relativity in the \emph{`normal-coordinates'} gauge are in one-to-one correspondence with curvature 2-forms. We discuss how this can be used as a change of variables in the operator formalism to construct a dual formulation of quantum gravity pertinent in the context of asymptotic safety-like approaches to quantum gravity.
Keywords
Cite
@article{arxiv.2309.09391,
title = {Towards a dual formulation of quantum gravity via metric-curvature bijections},
author = {Praveen Dennis Xavier},
journal= {arXiv preprint arXiv:2309.09391},
year = {2023}
}
Comments
12 pages, 2 figures. Submitted to Classical and Quantum Gravity, IOP. ver2: Extended introduction