Eigenvalues of the Weyl operator as observables of general relativity

Details Eigenvalues of the Weyl operator as observables of general relativity Eigenvalues of the Weyl operator as observables of general relativity

1994-06-08

arxiv.org/abs/gr-qc/9406014v1

Class.Quant.Grav.12:1279-1286,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, LaTex style, preprint UPRF-94-399

Scientific paper

10.1088/0264-9381/12/5/017

We consider the eigenvalues of the three-dimensional Weyl operator defined in
terms of the (Euclidean) Ashtekar variables, and we study their dependence on
the gravitational field. We notice that these eigenvalues can be used as
gravitational variables, and derive explicit formulas for their Poisson
brackets and their time evolution.

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