We define the concept of Levi-Civita truncation for a Lagrangian in the Palatini formulation with an arbitrary connection, and show that its consistency uniquely identifies the Lovelock Lagrangians. © 2011 Elsevier B.V.
Dadhich, N., & Pons, J. M. (2011). Consistent levi-civita truncation uniquely characterizes the lovelock lagrangians. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 705(1–2), 139–142. https://doi.org/10.1016/j.physletb.2011.09.108