On the topological character of metric-affine Lovelock Lagrangians in critical dimensions

In this paper we prove that the k-th order metric-affine Lovelock Lagrangian is not a total derivative in the critical dimension n=2k in the presence of non-trivial non-metricity. We use a bottom-up approach, starting with the study of the simplest cases, Einstein-Palatini in two dimensions and Gaus...

Full description

Bibliographic Details
Main Authors: Bert Janssen, Alejandro Jiménez-Cano
Format: Article
Language:English
Published: Elsevier 2019-11-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S037026931930718X