Hamiltonian analysis of General relativity with the Immirzi parameter

Details Hamiltonian analysis of General relativity with the Immirzi parameter Hamiltonian analysis of General relativity with the Immirzi parameter

2000-06-03

arxiv.org/abs/gr-qc/0006013v1

Int.J.Mod.Phys. D10 (2001) 261-272

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, revtex, no figures

Scientific paper

10.1142/S0218271801000858

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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