On geometrodynamics with tetrad fields

Details On geometrodynamics with tetrad fields On geometrodynamics with tetrad fields

Nov 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978gregr...9.1031h&link_type=abstract

General Relativity and Gravitation, Volume 9, Issue 11, pp.1031-1045

Physics

15

Scientific paper

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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