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Dirac Hamiltonian formulation and algebra of the constraints in the Einstein - Cartan theory

I A Nikolic 1995 Class. Quantum Grav. 12 3103-3114   doi: 10.1088/0264-9381/12/12/024  Help

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I A Nikolic
Institute of Physics, PO Box 57, 11001 Beograd, Yugoslavia

Abstract. We present here a detailed but rather transparent Dirac Hamiltonian formulation of the first-order Einstein - Cartan theory of gravitation, including a rigorous derivation of the off-shell constraint algebra between lapse, shift and Lorentz Hamiltonians. Taking the simplest solution for determined multipliers, it is shown that squares of the second-class constraints appear on the right-hand side of the Poisson brackets algebra.

PACS numbers: 0450, 0460D

Print publication: Issue 12 (December 1995)
Received 13 March 1995, in final form 22 August 1995

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