Abstract
For the example of the motion of an accelerated charge it is shown that an inertial frame of reference in which there is a homogeneous static gravitational field with strength g is physically inequivalent to a uniformly accelerated frame of reference moving with acceleration-g with respect to the inertial frame of reference. It follows from this that the equivalence principle does not hold in the usual formulation. The widely held opinion that such a principle is the basis of the general theory of relativity is not entirely correct. Einstein's theory of gravitation is based on an equivalence principle of a deeper content, which takes the form that the metric fieldg μν of a Riemannian space is declared to be a gravitational field. Such is the “natural formulation of the equivalence principle” at which Einstein subsequently arrived.
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Additional information
Institute of High Energy Physics; Serpukhov. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 99, No. 1, pp. 121–140, April, 1994.
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Logunov, A.A., Mestvirishvili, M.A. & Chugreev, Y.V. The equivalence principle. Theor Math Phys 99, 470–483 (1994). https://doi.org/10.1007/BF01018801
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DOI: https://doi.org/10.1007/BF01018801