Abstract
In an earlier paper, a criterion for « rigidity » of a non-inertial frame of reference has been introduced in the form of the postulate that the velocity of light in the noninertial frame is time-independent. It is proved that, if a one-dimensional noninertial frame satisfies this postulate, the following two requirements are equivalent: 1) the coordinate time in the accelerated frame is equivalent to proper time; 2) the accelerated frame satisfies Born’s criterion for rigidity. Further investigation of the compatibility of the above-mentioned definition of rigidity and of Born’s definition, in the case of a one-dimensional system, shows that these two definitions are compatible only in the case of « hyperbolic motion ».
Published Version
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