Lagrangian and Hamiltonian formulations of the Palatini action
classification
🌀 gr-qc
hep-phhep-th
keywords
actionpalatiniconditionashtekar-barberocompatibilityderivedescribeeither
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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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