Soviet Physics Journal

, Volume 13, Issue 11, pp 1466–1471 | Cite as

Tetrad analysis of rotational and vibrational motion in the special theory of relativity

  • S. A. Podosenov


The formalism of orthogonal reference frames described by Eisenhart [1] is used to analyze a rotating continuum, the circular motion of a mass point, and a relativistic oscillator from the standpoint of comoving tetrads. It is found that the velocity of the rotating object or of the mass point does not exceed the speed of light in vacuum at any distances from the rotation axis.


Reference Frame Rotation Axis Mass Point Special Theory Circular Motion 
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Literature cited

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    L. P. Eisenhart, Riemannian Geometry, Princeton University Press, Princeton, New Jersey (1926).Google Scholar
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    J. L. Synge, Relativity: The General Theory, Interscience, New York (1960).Google Scholar
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    E. L. Hill, Phys. Rev.,69, 488 (1946).Google Scholar
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    N. Rosen, Phys. Rev.,71, 54 (1947).Google Scholar
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    A. N. Tikhonov and A. A. Samarksii, Equations of Mathematical Physics [in Russian], Nauka(1966).Google Scholar
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    V. I. Rodichev, The Einstein Collection [in Russian], Nauka (1968).Google Scholar
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    I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products [in Russian], Fizmatgiz (1963).Google Scholar

Copyright information

© Consultants Bureau 1973

Authors and Affiliations

  • S. A. Podosenov
    • 1
  1. 1.N. É. Bauman Moscow Technical CollegeUSSR

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