(Non-)uniqueness of Einstein-Palatini Gravity
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- January 2019
- DOI:
- 10.48550/arXiv.1901.02326
- arXiv:
- arXiv:1901.02326
- Bibcode:
- 2019arXiv190102326J
- Keywords:
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- General Relativity and Quantum Cosmology
- E-Print:
- 8 pages, 2 figures. Talk given by A.J.C. at the workshop Frontiers of Fundamental Physics 15 (Orihuela, Spain, November 2017)