Manifestly Lorentz-covariant variables for the phase space of general relativity

15 Jan 2018  ·  Montesinos Merced, Romero Jorge, Celada Mariano ·

We present a manifestly Lorentz-covariant description of the phase space of general relativity with the Immirzi parameter. This formulation emerges after solving the second-class constraints arising in the canonical analysis of the Holst action. We show that the new canonical variables give rise to other Lorentz-covariant parametrizations of the phase space via canonical transformations. The resulting form of the first-class constraints in terms of new variables is given. In the time gauge, these variables and the constraints become those found by Barbero.

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General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics Mathematical Physics