(Non-)uniqueness of Einstein-Palatini Gravity
General Relativity and Quantum Cosmology
2021-03-01 v2
Abstract
We analyse the most general connection allowed by Einstein-Hilbert theory in Palatini formalism. We also consider a matter lagrangian independent of the affine connection. We show that any solution of the equation of the connection is essentially Levi-Civita up to a term that contains an undetermined 1-form. Finally, it is proved that these connections and Levi-Civita describe a completely equivalent physics.
Keywords
Cite
@article{arxiv.1901.02326,
title = {(Non-)uniqueness of Einstein-Palatini Gravity},
author = {Bert Janssen and Alejandro Jimenez-Cano and Jose Alberto Orejuela and Pablo Sanchez-Moreno},
journal= {arXiv preprint arXiv:1901.02326},
year = {2021}
}
Comments
8 pages, 2 figures. Talk given by A.J.C. at the workshop Frontiers of Fundamental Physics 15 (Orihuela, Spain, November 2017)