Weyl gravity as general relativity
General Relativity and Quantum Cosmology
2014-07-30 v3 High Energy Physics - Theory
Abstract
When the full connection of Weyl conformal gravity is varied instead of just the metric, the resulting vacuum field equations reduce to the vacuum Einstein equation, up to the choice of local units, if and only if the torsion vanishes. This result differs strongly from the usual fourth-order formulation of Weyl gravity.
Keywords
Cite
@article{arxiv.1310.0526,
title = {Weyl gravity as general relativity},
author = {James T. Wheeler},
journal= {arXiv preprint arXiv:1310.0526},
year = {2014}
}
Comments
Final version, 11 pages. The role of torsion is clarified, two appendices - on structure equations and Bianchi identities and on the basis equation - have been added