Comments On Torsion and MacDowell-Mansouri gravity

Abstract

Starting with the MacDowell-Mansouri formulation of gravity with a $SO(4,1)$ gauge group, we introduce new parameters into the action to include the non-dynamical Holst term, and the topological Nieh-Yan and Pontryagin classes. Then, we consider the new parameters as fields and analyze the solutions coming from their equations of motion. The new fields introduce torsional contributions to the theory that modify Einstein's equations.

14 pages, no figures, matches published version

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• The Barbero-Immirzi Parameter as a Scalar Field: K-Inflation from Loop Quantum Gravity?
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Cited by in corpus (1)

• Comments on the symmetry breaking condition in MacDowell-Mansouri action