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Canonical Variables for General Relativity

Arnowitt, R. and Deser, S. and Misner, C. W. (1960) Canonical Variables for General Relativity. Physical Review, 117 (6). pp. 1595-1602. ISSN 0031-899X.

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The general theory of relativity is cast into normal Hamiltonian form in terms of two pairs of independent conjugate field variables. These variables are explicitly exhibited and obey ordinary Poisson bracket relations. This form is reached by imposing a simple set of coordinate conditions. It is shown that those functionals of the metric used as invariant coordinates do not appear explicitly in the Hamiltonian and momentum densities, so that the standard differential conservation laws hold. The bearing of these results on the quantization problem is discussed.

Item Type:Article
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Deser, S.0000-0001-9285-9434
Additional Information:© 1960 American Physical Society. (Received October 12, 1959) Supported in part by a National Science Foundation Research Grant.
Funding AgencyGrant Number
Alfred P. Sloan FoundationUNSPECIFIED
Issue or Number:6
Record Number:CaltechAUTHORS:20180724-143009237
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:88200
Deposited By: George Porter
Deposited On:24 Jul 2018 21:46
Last Modified:03 Oct 2019 20:04

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