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TMF, 1994, Volume 99, Number 1, Pages 121–140 (Mi tmf1571)  

The equivalence principle

A. A. Logunov, M. A. Mestvirishvili, Yu. V. Chugreev

Institute for High Energy Physics

Abstract: By an example of the movement of an accelerated charge it is demonstrated that the inertial reference system containing the homogeneous static gravitational field of the strength $\mathbf{g}$ is not physically equivalent to a constantly accelerated reference system moving with the acceleration $-\mathbf{g}$ related to the inertial system. Hence the Equivalence Principle in its standard formulation it not fulfilled. The widely spread view that just this Principle underlies the General Theory of Relativity is not quite correct. The basis of Einstein theory of gravity is another Equivalence Principle, having different and more deep content that metric field $g_{\mu\nu}$ of Riemannian space is proclaimed as the gravitational field. Just this is “the natural formulation of the Equivalence Principle” that Einstein had come to later.

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English version:
Theoretical and Mathematical Physics, 1994, 99:1, 470–483

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Received: 15.02.1994

Citation: A. A. Logunov, M. A. Mestvirishvili, Yu. V. Chugreev, “The equivalence principle”, TMF, 99:1 (1994), 121–140; Theoret. and Math. Phys., 99:1 (1994), 470–483

Citation in format AMSBIB
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\paper The equivalence principle
\jour TMF
\yr 1994
\vol 99
\issue 1
\pages 121--140
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\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1302463}
\zmath{https://zbmath.org/?q=an:0848.53061}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 99
\issue 1
\pages 470--483
\crossref{https://doi.org/10.1007/BF01018801}
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