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

Yuri N. Obukhov·Friedrich W. Hehl
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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 {\it without} cosmological term from a {\it modified} quadratic curvature invariant of {\it topological} type.

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Yuri N. Obukhov, Friedrich W. Hehl. 1996-02-08. On the Relation Between Quadratic and Linear Curvature Lagrangians in Poincaré Gauge Gravity. https://arxiv.org/abs/gr-qc/9602014

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