Regular Article - Theoretical Physics
Fermi coordinates and modified Franklin transformation: a comparative study on rotational phenomena
Department of Physics, University of Tehran, North Karegar Ave., 14395-547, Tehran, Iran
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Accepted: 9 October 2014
Published online: 29 October 2014
Employing a relativistic rotational transformation to study and analyze rotational phenomena, instead of the rotational transformations based on consecutive Lorentz transformations and Fermi coordinates, leads to different predictions. In this article, after a comparative study between the Fermi metric of a uniformly rotating eccentric observer and the spacetime metric in the same observer’s frame obtained through the modified Franklin transformation, we consider rotational phenomena including the transverse Doppler effect and the Sagnac effect in both formalisms and compare their predictions. We also discuss length measurements in the two formalisms.
© SIF and Springer-Verlag Berlin Heidelberg, 2014