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Lagrangian and Hamiltonian formulations of the Palatini action

Published 21 Jun 2017 in gr-qc, hep-ph, and hep-th | (1706.07301v2)

Abstract: We derive the Ashtekar-Barbero variables in Loop Quantum Gravity(LQG) starting from the Palatini action. We find that we need either the torsion-free condition or the compatibility condition for the Palatini action to describe General Relativity.

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