Hamiltonian analysis of General relativity with the Immirzi parameter

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.

8 pages, revtex, no figures

References in corpus (1)

• SO(4,C)-covariant Ashtekar-Barbero gravity and the Immirzi parameter

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