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Energy and the Criteria for Radiation in General Relativity

Arnowitt, R. and Deser, S. and Misner, C. W. (1960) Energy and the Criteria for Radiation in General Relativity. Physical Review, 118 (4). pp. 1100-1104. ISSN 0031-899X. http://resolver.caltech.edu/CaltechAUTHORS:20180724-143009319

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Abstract

The Hamiltonian for general relativity obtained in a previous paper furnishes a definition of energy whose physical interpretation is direct, and which fulfills the conditions required of the energy in other physical systems. The energy can be expressed as a surface integral at spacial infinity in terms of the spacial components of the covariant metric tensor at any given time. Thus, the energy depends only on the minimal initial Cauchy data and may be evaluated in any coordinate system, provided this system can be made asymptotically rectangular. These statements remain valid when particles are coupled to the gravitational field. The criteria for existence of gravitational radiation are formulated in terms of the canonical variables and the stress-tensor. These criteria are identical to those used in electromagnetic theory. Some applications are discussed.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/physrev.118.1100DOIArticle
ORCID:
AuthorORCID
Deser, S.0000-0001-9285-9434
Additional Information:© 1960 American Physical Society. (Received December 3, 1959) This research was supported in part by the U. S. Air Force under a contract monitored by The Aeronautical Research Laboratory, Wright Air Development Center. Supported in part by a National Science Foundation Research Grant.
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
NSFUNSPECIFIED
Alfred P. Sloan FoundationUNSPECIFIED
Record Number:CaltechAUTHORS:20180724-143009319
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180724-143009319
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:88201
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:24 Jul 2018 21:48
Last Modified:24 Jul 2018 21:48

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