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On the Relation Between Quadratic and Linear Curvature Lagrangians in Poincaré Gauge Gravity

Yuri N. Obukhov, Friedrich W. Hehl

gr-qcarXiv:gr-qc/9602014

Abstract

We discuss the choice of the Lagrangian in the Poincaré gauge theory of gravity. Drawing analogies to earlier de Sitter gauge models, we point out the possibility of deriving the Einstein-Cartan Lagrangian without cosmological term from a modified quadratic curvature invariant of topological type.

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