1211.0222 (J. B. Formiga)

On the accelerated observer's proper coordinates    [PDF]

J. B. Formiga

Physicists have been interested in accelerated observers for quite some time. Since the advent of special relativity, many authors have tried to understand these observers in the framework of Minkowski spacetime. One of the goals is to right the Minkowskian metric in terms of the proper coordinate system of the accelerated observers. In this paper, I write the metric in terms of the Frenet-Serret curvatures and the proper coordinate system of a general accelerated observer. I test this approach for two well-known observers, namely, the Rindler and the rotating ones, and use it to create a set of observers who rotates while accelerating along the axis of rotation.

View original: http://arxiv.org/abs/1211.0222