Abstract
A spherically symmetric solution of the “already unified field theory” ofRainich (i.e. of the source-free Maxwell-Einstein equations) is presented which represents a static massless charged particle. It is not equivalent to the Reissner-Nordström solution with zero mass, although both metrics repel uncharged test particles.
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Lovelock, D.: Weakened field equations in general relativity admitting an ‘unphysical’ metric. Commun. math. Phys.5, 205–214 (1967).
Rainich, G. Y.: Electrodynamics in the general relativity theory. Trans. Am. Math. Soc.27, 106–130 (1925).
Wheeler, J. A.: Geometrodynamics. Topics in modern physics, Vol. 1. New York: Academic Press 1962.
Birkhoff, G. D.: Relativity and modern physics. Cambridge: Harvard University Press 1923.
Hoffmann, B.: On the spherically symmetric field in relativity. Quart. J. Math.3, 226–237 (1932).
—— On the spherically symmetric field in relativity II. Quart. J. Math.4, 179–183 (1933).
—— On the extension of Birkhoff's theorem to the case in which an electromagnetic field is present. Recent developments in general relativity, 279–282. London: Pergamon 1962.
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On leave of absence from the Department of Mathematics, The University, Bristol.
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Lovelock, D. A spherically symmetric solution of the Maxwell-Einstein equations. Commun.Math. Phys. 5, 257–261 (1967). https://doi.org/10.1007/BF01646478
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DOI: https://doi.org/10.1007/BF01646478