(Non-)uniqueness of Einstein-Palatini Gravity
arXiv:1901.02326 · doi:10.1007/978-3-030-52923-9_5
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.
8 pages, 2 figures. Talk given by A.J.C. at the workshop Frontiers of Fundamental Physics 15 (Orihuela, Spain, November 2017)