Generalized forms, metrics and Ricci flat four-metrics
Mathematical Physics
2022-06-14 v2 General Relativity and Quantum Cosmology
math.MP
Abstract
Generalized differential forms are used in discussions of metric geometries and Einstein's vacuum field equations. Cartan's structure equations are generalized and applied. In particular flat generalized connections are associated with any metric. Einstein's vacuum field equations and their Lorentzian four-metric solutions are considered from a novel point of view. It is shown how particular flat generalized connections and geometries can encode such Ricci flat metrics.
Cite
@article{arxiv.2202.00578,
title = {Generalized forms, metrics and Ricci flat four-metrics},
author = {D C Robinson},
journal= {arXiv preprint arXiv:2202.00578},
year = {2022}
}
Comments
21 pages, minor corrections in Section 2