Consistent Levi Civita truncation uniquely characterizes the Lovelock Lagrangians

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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10 pages. Title slightly changed to emphasize the result. Matches published version

Scientific paper

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.

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