Abstract

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.

Original languageEnglish (US)
Pages (from-to)2244-2247
Number of pages4
JournalPhysical Review Letters
Volume57
Issue number18
DOIs
StatePublished - Jan 1 1986

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relativity
imbeddings
gravitation
Yang-Mills theory
formulations

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

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title = "New variables for classical and quantum gravity",
abstract = "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.",
author = "Abhay Ashtekar",
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New variables for classical and quantum gravity. / Ashtekar, Abhay.

In: Physical Review Letters, Vol. 57, No. 18, 01.01.1986, p. 2244-2247.

Research output: Contribution to journalArticle

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