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Interior Schwarzschild Solutions and Interpretation of Source Terms

Arnowitt, R. and Deser, S. and Misner, C. W. (1960) Interior Schwarzschild Solutions and Interpretation of Source Terms. Physical Review, 120 (1). pp. 321-324. ISSN 0031-899X. http://resolver.caltech.edu/CaltechAUTHORS:20180724-143009488

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Abstract

The solutions of the Einstein field equations, previously used in deriving the self-energy of a point charge, are shown to be nonsingular in a canonical frame, except at the position of the particle. A distribution of "dust" of finite extension is examined as the model whose limit is the point particle. The standard "proper rest-mass density" is related to the bare rest-mass density. The lack of singularity of the initial metric The solutions of the Einstein field equations, previously used in deriving the self-energy of a point charge, are shown to be nonsingular in a canonical frame, except at the position of the particle. A distribution of "dust" of finite extension is examined as the model whose limit is the point particle. The standard "proper rest-mass density" is related to the bare rest-mass density. The lack of singularity of the initial metric g_(µν) is in contrast to the Schwarzschild type singularity of standard coordinate systems. Our solutions for the extended source are nonstatic in general, corresponding to the fact that a charged dust is not generally in equilibrium. However, the solutions become static in the point limit for all values of the bare-source parameters. Similarly, the self-stresses vanish for the point particle. Thus, a classical point electron is stable, the gravitational interaction cancelling the electrostatic self-force, without the need for any extraneous "cohesive" forces.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/physrev.120.321DOIArticle
ORCID:
AuthorORCID
Deser, S.0000-0001-9285-9434
Additional Information:© 1960 American Physical Society. (Received April 27, 1960) Supported in part by the National Science Foundation and by the Air Force Office of Scientific Research under Contract.
Funders:
Funding AgencyGrant Number
NSFUNSPECIFIED
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Alfred P. Sloan FoundationUNSPECIFIED
Record Number:CaltechAUTHORS:20180724-143009488
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180724-143009488
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:88203
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:24 Jul 2018 21:55
Last Modified:24 Jul 2018 21:55

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