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.

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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. | ||||||||

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Record Number: | CaltechAUTHORS:20180724-143009488 | ||||||||

Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:20180724-143009488 | ||||||||

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Deposited By: | George Porter | ||||||||

Deposited On: | 24 Jul 2018 21:55 | ||||||||

Last Modified: | 24 Jul 2018 21:55 |

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