# First-order formulation of teleparallel gravity and dual loop gravity

@article{Dupuis2020FirstorderFO, title={First-order formulation of teleparallel gravity and dual loop gravity}, author={Mait'e Dupuis and Florian Girelli and Abdulmajid Osumanu and Wolfgang Wieland}, journal={Classical and Quantum Gravity}, year={2020}, volume={37}, pages={085023} }

There are at least two ways to encode gravity into geometry: Einstein's general theory of relativity (GR) for the metric tensor, and teleparallel gravity, where torsion as opposed to curvature encodes the dynamics of the gravitational degrees of freedom. The main purpose of the paper is to explore the relation between loop gravity and teleparallel gravity. We argue that these two formulations of gravity are related to two different discretizations of the Einstein--Cartan action, which were… CONTINUE READING

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