Geometrical representation of the constraints of Euclidean general relativity
نویسندگان
چکیده
Inspired by BRST techniques, we give an SU(2) covariant representation of the constraints of Euclidean general relativity in the Ashtekar variables. The guiding principle is the use of triads to transform all free spatial indices into SU(2) indices. A central role is played by a special covariant derivative. The Gauss, diffeomorphism and Hamiltonian constraints become purely algebraic restrictions on the curvature and the torsion associated with this connection. As an application, we show how this representation appears in the problem of the classification of all local conservation laws of the Husain-Kuchǎr model. (∗)Aspirant au Fonds National de la Recherche Scientifique (Belgium). On leave of absence from Universite Libre de Bruxelles.
منابع مشابه
Geometrical representation of Euclidean general relativity in the canonical formalism
We give an SU(2) covariant representation of the constraints of Euclidean general relativity in the Ashtekar variables. The guiding principle is the use of triads to transform all free spatial indices into SU(2) indices. A central role is played by a special covariant derivative. The Gauss, diffeomorphism and Hamiltonian constraints become purely algebraic restrictions on the curvature and the ...
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