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gr-qc1994★ 4 cited
Eigenvalues of the Weyl operator as observables of general relativity
Roberto De Pietri, Carlo Rovelli
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.…
gr-qc1994★ 10 cited
Standard and Generalized Newtonian Gravities as ``Gauge'' Theories of the Extended Galilei Group - II: Dynamical Three-Space Theories
R. De Pietri, L. Lusanna, M. Pauri
In a preceding paper we developed a reformulation of Newtonian gravitation as a {\it gauge} theory of the extended Galilei group. In the present one we derive two true generalizati…
gr-qc1994★ 51 cited
Standard and Generalized Newtonian Gravities as ``Gauge'' Theories of the Extended Galilei Group - I: The Standard Theory
R. De Pietri, L. Lusanna, M. Pauri
Newton's standard theory of gravitation is reformulated as a {\it gauge} theory of the {\it extended} Galilei Group. The Action principle is obtained by matching the {\it gauge} te…