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arXiv · 1901.02326

(Non-)uniqueness of Einstein-Palatini Gravity

Bert Janssen·Alejandro Jimenez-Cano·Jose Alberto Orejuela·Pablo Sanchez-Moreno
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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.

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Bert Janssen, Alejandro Jimenez-Cano, Jose Alberto Orejuela, Pablo Sanchez-Moreno. 2020-12-17. (Non-)uniqueness of Einstein-Palatini Gravity. https://doi.org/10.1007/978-3-030-52923-9_5

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