Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1999-06-14
Lect.Notes Phys. 596 (2002) 299-312
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
14 pages, Latex. Based on a talk given at the Arbeitstagung `Das Standardmodell der Elementarteilchenphysik unter mathematisch
Scientific paper
We review some work done with C. Rovelli on the use of the eigenvalues of the Dirac operator on a curved spacetime as dynamical variables, the main motivation coming from their invariance under the action of diffeomorphisms. The eigenvalues constitute an infinite set of ``observables'' for general relativity and can be taken as variables for an invariant description of the gravitational field dynamics.
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