Interior Schwarzschild Solutions and Interpretation of Source Terms
- Creators
- Arnowitt, R.
-
Deser, S.
- Misner, C. W.
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.
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.Attached Files
Published - PhysRev.120.321.pdf
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Additional details
- Eprint ID
- 88203
- Resolver ID
- CaltechAUTHORS:20180724-143009488
- NSF
- Air Force Office of Scientific Research (AFOSR)
- Alfred P. Sloan Foundation
- Created
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2018-07-24Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field