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arXiv · 1712.00040

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

Merced Montesinos·Jorge Romero·Mariano Celada
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Abstract

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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Merced Montesinos, Jorge Romero, Mariano Celada. 2017-11-30. Manifestly Lorentz-covariant variables for the phase space of general relativity. https://doi.org/10.1103/physrevd.97.024014

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