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On geometrodynamics with tetrad fields

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Abstract

In this paper, we extend Kuchař's analysis [1] to geometrodynamics driven by sources of arbitrary spin: starting from a given matter action added to ADM's gravitational action, we derive the corresponding Hamiltonian. We next calculate the strong value of the Poisson brackets of the constraints. Our general derivation leads to Deser-Isham [9] and Dirac's results [4] when applied to the particular cases of pure geometrodynamics and geometrodynamics with a spin-1/2 field.

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  1. Service de Physique Théorique et Mathématique, Université Libre de Bruxelles, Campus Plaine C.P. 228-Boulevard du Triomphe 1050, Brussels, Belgium

    Marc Henneaux

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  1. Marc Henneaux
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Aspirant du Fonds National Belge de la Recherche Scientifique.

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Henneaux, M. On geometrodynamics with tetrad fields. Gen Relat Gravit 9, 1031–1045 (1978). https://doi.org/10.1007/BF00784663

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