Dirac consistency of the algebra of Hamiltonian constraints in reduced 4-D general relativity

Details Dirac consistency of the algebra of Hamiltonian constraints in reduced 4-D general relativity Dirac consistency of the algebra of Hamiltonian constraints in reduced 4-D general relativity

2009-02-09

arxiv.org/abs/0902.1520v4

Hadronic Journal. Vol 33, No. 6 (2010) p.637

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 Pages. Accepted by the Hadronic journal

Scientific paper

In this paper we provide an action related to a certain sector of general relativity where the algebra of Hamiltonian constraints forms a first class system. This action is a Dirac-consistent stand-alone action with two physical degrees of freedom per point. In this paper we provide the steps necessary to transform this new action to and from the associated sectors of the Ashtekar theory and a certain antecedent of the pure spin connection formulation by Capovilla, Dell and Jacobson.

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