English

Consistent Levi Civita truncation uniquely characterizes the Lovelock Lagrangians

General Relativity and Quantum Cosmology 2015-05-20 v2 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

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.

Cite

@article{arxiv.1012.1692,
  title  = {Consistent Levi Civita truncation uniquely characterizes the Lovelock Lagrangians},
  author = {Naresh Dadhich and Josep M. Pons},
  journal= {arXiv preprint arXiv:1012.1692},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-21T16:55:15.461Z