Abstract
The Weyl theory of gravitation and electromagnetism, as modified by Dirac, contains a gauge-covariant scalar β which has no geometric significance. This is a flaw if one is looking for a geometric description of gravitation and electromagnetism. A bimetric formalism is therefore introduced which enables one to replace β by a geometric quantity. The formalism can be simplified by the use of a gauge-invariant physical metric. The resulting theory agrees with the general relativity for phenomena in the solar system.
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Israelit, M., Rosen, N. A gauge-covariant bimetric theory of gravitation and electromagnetism. Found Phys 13, 1023–1045 (1983). https://doi.org/10.1007/BF00729522
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DOI: https://doi.org/10.1007/BF00729522