Reference frames and rigid motions in relativity: Applications
D. Soler
TL;DR
This paper applies the concepts of rigid reference frames and constricted spatial metrics to specific space-times, analyzing phenomena like the Ehrenfest paradox, Sagnac effect, and light speed anisotropy in Earth's frame.
Contribution
It introduces a new approach to the Ehrenfest paradox and explains the Sagnac effect using rigid reference frames in relativity.
Findings
Analysis of a rotating disc in Minkowski space-time
New explanation of the Sagnac effect
Discussion of light speed anisotropy in Earth's frame
Abstract
The concept of rigid reference frame and of constricted spatial metric, given in the previous work [\emph{Class. Quantum Grav.} {\bf 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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