On an Accelerated Observer with Rotating Tetrad in Special Relativity

Many experiments are performed in an accelerated rotating laboratory. In these cases, special relativistic inertial effects could be important. The present paper studies such effects in the metric and in the equations of motion. Specifically, we derive the fourth-order expansion of the inertial coordinates, the third-order expansion of the metric and the second-order expansion of the inertial accelerations, in terms of local coordinates of the proper reference frame of an arbitrarily accelerated, rotating observer in special relativity. An example is provided with a uniformly accelerated and uniformly rotating observer.

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