caa a22 4500 445386185 CHVBK 20180317143033.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s10714-011-1254-y doi (NATIONALLICENCE)springer-10.1007/s10714-011-1254-y Bażański Stanisław Institute of Theoretical Physics, University of Warsaw, Hoża 69, 00-681, Warszawa, Poland aut Motion of a rigidly rotating circle in terms of Minkowski geometry [Elektronische Daten] [Stanisław Bażański] It is my great pleasure to dedicate this article to Josh Goldberg, a long-standing friend of mine. In terms of special theory of relativity, a discussion of a geometric model representing a rigidly rotating circle of material particles is given. It is shown that the ratio of the proper length of the spatial circumference of the circle to its radius is the same as in the case of a circle that is at rest relative to a global inertial frame of reference when the circumference is measured in terms of invariants determined by a set of local inertial observers who are momentarily comoving with the particles at equal values of their proper times which are synchronized in turn by every pair of neighbouring observers one after the other. Springer Science+Business Media, LLC, 2011 Minkowski geometry nationallicence Rigid rotational motion nationallicence Proper path nationallicence Invariant angular measure nationallicence General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/12(2011-12-01), 3693-3703 0001-7701 43:12<3693 2011 43 10714 https://doi.org/10.1007/s10714-011-1254-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-011-1254-y text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Bażański Stanisław Institute of Theoretical Physics, University of Warsaw, Hoża 69, 00-681, Warszawa, Poland aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/12(2011-12-01), 3693-3703 0001-7701 43:12<3693 2011 43 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer