Abstract
Abstract This chapter begins with an introduction to the formalism used to project four-dimensional spacetime into a 3-dimensional spatial 3-space. Then we apply this formalism to deduce the spatial geometry in a rotating reference frame and discuss Ehrenfest’s paradox. Also we show that it is impossible to Einstein synchronize clocks around a closed path in a rotating frame because this leads to a contradiction in a non-rotating frame. Gravitational time dilation and frequency shift, and also the Sagnac experiment are discussed. Finally we give an introduction to special relativistic kinematic in a uniformly accelerated reference frame in flat spacetime. It is pointed out that an observer experiences an acceleration of gravity in such a frame.KeywordsSpacetimeEhrenfest’s paradoxRotating reference frameSagnac experimentUniformly accelerated reference frame
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