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Rotating frames in special relativity

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Abstract

A uniformly rotating frame is defined as the rest frame of a particle revolving with constant velocityω in a circle about theZ-axis of an inertial frame Σ0. Under the conditionz=Z,r=R, theoretical constraints are established for the solution of the transformation problem Σ0→Σω r,Σω r being the cylindrical subframe of Σω. The unique solution of the problem in cylindrical coordinates is isomorphic to the special Lorentz transformationL x, withβ=v/c replaced byβ r=ωr/c. Hence the intrinsic geometry on the surface of a rotating cylinder is Euclidean. Though there exists no complete intrinsic geometry on the surface of a rotating disk, the geodesics on it are straight lines while the circumference of a concentric circle isK r2πr as predicted by Einstein.

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Authors and Affiliations

  1. Frankfurter Tor 1, 1034, Berlin, GDR

    M. Strauss

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  1. M. Strauss
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Strauss, M. Rotating frames in special relativity. Int J Theor Phys 11, 107–123 (1974). https://doi.org/10.1007/BF01811037

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  • DOI: https://doi.org/10.1007/BF01811037

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