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Hamiltonian analysis of General relativity with the Immirzi parameter

Nuno Barros e Sa
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Abstract

Starting from a Lagrangian we perform the full constraint analysis of the Hamiltonian for General relativity in the tetrad-connection formulation for an arbitrary value of the Immirzi parameter and solve the second class constraints, presenting the theory with a Hamiltonian composed of first class constraints which are the generators of the gauge symmetries of the action. In the time gauge we then recover Barbero's formulation of gravity.

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Nuno Barros e Sa. 2000-06-03. Hamiltonian analysis of General relativity with the Immirzi parameter. https://doi.org/10.1142/s0218271801000858

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