Phys. Rev. Lett. 57, 2244 - 2247 (1986)New Variables for Classical and Quantum Gravity |
Abhay Ashtekar
Physics Department, Syracuse University, Syracuse, New York 13244
Institute for Theoretical Physics, University of California, Santa Barbara, Santa Barbara, California 93106
Received 18 December 1985; revised 29 August 1986
A Hamiltonian formulation of general relativity based on certain spinorial variables is introduced. These variables simplify the constraints of general relativity considerably and enable one to imbed the constraint surface in the phase space of Einstein's theory into that of Yang-Mills theory. The imbedding suggests new ways of attacking a number of problems in both classical and quantum gravity. Some illustrative applications are discussed.
©1986 The American Physical Society
URL: http://link.aps.org/abstract/PRL/v57/p2244
DOI: 10.1103/PhysRevLett.57.2244
PACS: 04.60.+n, 04.20.Fy
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