New Variables for Classical and Quantum Gravity

Phys. Rev. Lett. 57, 2244 – Published 3 November 1986
Abhay Ashtekar


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.


  • Received 18 December 1985
  • Revised 29 August 1986
  • Published in the issue dated 3 November 1986

© 1986 The American Physical Society

Authors & Affiliations

Abhay Ashtekar

  • Physics Department, Syracuse University, Syracuse, New York 13244
  • Institute for Theoretical Physics, University of California, Santa Barbara, Santa Barbara, California 93106

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