Eigenvalues of the Weyl operator as observables of general relativity
- 1 May 1995
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 12 (5) , 1279-1285
- https://doi.org/10.1088/0264-9381/12/5/017
Abstract
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 formulae for their Poisson brackets and their time evolution.Keywords
All Related Versions
This publication has 14 references indexed in Scilit:
- Faraday lines and observables for the Einstein-Maxwell theoryClassical and Quantum Gravity, 1993
- Symmetries of the Einstein equationsPhysical Review Letters, 1993
- Generalized lines of force as the gauge invariant degrees of freedom for general relativity and Yang-Mills theoryPhysical Review Letters, 1992
- Degeneracy in loop variablesCommunications in Mathematical Physics, 1992
- Quantum reference systemsClassical and Quantum Gravity, 1991
- What is observable in classical and quantum gravity?Classical and Quantum Gravity, 1991
- New Hamiltonian formulation of general relativityPhysical Review D, 1987
- Generalized constraint structure for gravitation theoryPhysical Review D, 1983
- General relativity: Dynamics without symmetryJournal of Mathematical Physics, 1981
- Observables in General RelativityReviews of Modern Physics, 1961