2013/04/15 by Yaakov Friedman, Tzvi Scarr
Physics and Astronomy · #gr-qc #physics.gen-ph
paper · pdf · doi:10.1088/0031-8949/87/05/055004
published as Physica Scripta, 87 (2013) 055004 · 19 pages, one figure. arXiv admin note: substantial text overlap with arXiv:1105.0492
arxiv created 2013/04/15 · arxiv updated 2015/06/15
We use Generalized Fermi-Walker transport to construct a one-parameter family of inertial frames which are instantaneously comoving to a uniformly accelerated observer. We explain the connection between our approach and that of Mashhoon. We show that our solutions of uniformly accelerated motion have constant acceleration in the comoving frame. Assuming the Weak Hypothesis of Locality, we obtain local spacetime transformations from a uniformly accelerated frame K' to an inertial frame K. The spacetime transformations between two uniformly accelerated frames with the same acceleration are Lorentz. We compute the metric at an arbitrary point of a uniformly accelerated frame.