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Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action

Sören Holst
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Abstract

Barbero recently suggested a modification of Ashtekar's choice of canonical variables for general relativity. Although leading to a more complicated Hamiltonian constraint this modified version, in which the configuration variable still is a connection, has the advantage of being real. In this article we derive Barbero's Hamiltonian formulation from an action, which can be considered as a generalization of the ordinary Hilbert-Palatini action.

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Sören Holst. 1995-11-07. Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action. https://doi.org/10.1103/physrevd.53.5966

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