In the tetrad (ADM-vielbein) form of general relativity, the authors build first-class constraints that generate the full local Lorentz group (rotations plus boosts) and verify the Lorentz algebra, but only for N=1, Ni=0.
Manifestly Lorentz-covariant variables for the phase space of general relativity
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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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gr-qc 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
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Generators of Local Lorentz Transformation in ADM-Vielbein Formalism of Gravitational Relativity
In the tetrad (ADM-vielbein) form of general relativity, the authors build first-class constraints that generate the full local Lorentz group (rotations plus boosts) and verify the Lorentz algebra, but only for N=1, Ni=0.