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.
A Note on Ghost-Free Matter Couplings in Massive Gravity and Multi-Gravity
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abstract
We consider a recently proposed non-minimal matter coupling in massive gravity and multi-gravity. We argue that, when formulated in terms of unconstrained vielbeins, this matter coupling contains the primary constraints necessary to remove the Boulware-Deser ghost to all orders away from the decoupling limit.
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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.