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- Title
WEAK FIELD LIMIT OF GENERAL RELATIVITY IN TERMS OF NEW VARIABLES: A HAMILTONIAN FRAMEWORK.
- Authors
ASHTEKAR, ABHAY; LEE, JOOHAN
- Abstract
A self-contained treatment of the linearization procedure for constrained Hamiltonian systems is first presented in a general setting. The procedure is then applied to general relativity using triads and self-dual connections as the basic canonical variables. These results have paved the way to the quantization of weak gravitational waves in the connection and loop representations and to a study of the relation between these quanta and nonperturbative canonical gravity. In the classical theory, they suggest a new approach to the treatment of gravitational perturbations and may be useful also to the theory underlying weak gravity waves.
- Publication
International Journal of Modern Physics D: Gravitation, Astrophysics & Cosmology, 1994, Vol 3, Issue 4, p675
- ISSN
0218-2718
- Publication type
Article
- DOI
10.1142/S0218271894000812