The concept of rigid reference frame and of constricted spatial metric, given in the previous work [Class. Quantum Grav. 21, 3067 (2004)] are here applied to some specific space-times: in particular, the rigid rotating disc with constant angular velocity in Minkowski space-time is analyzed, a new approach to the Ehrenfest paradox is given as well as a new explanation of the Sagnac effect. Finally the anisotropy of the speed of light and its measurable consequences in a reference frame co-moving with the Earth are discussed.
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Soler, D. Reference Frames and Rigid Motions in Relativity: Applications. Found Phys 36, 1718–1735 (2006). https://doi.org/10.1007/s10701-006-9080-x
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DOI: https://doi.org/10.1007/s10701-006-9080-x