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.
Classification of constraints using chain by chain method
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abstract
We introduce "chain by chain" method for constructing the constraint structure of a system possessing both first and second class constraints. We show that the whole constraints can be classified into completely irreducible first or second class chains. We found appropriate redefinition of second class constraints to obtain a symplectic algebra among them.
fields
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.