The stationary coordinate systems in flat spacetime

Abstract

The stationary metrics in flat spacetime are derived using a recent classification of the timelike Killing vector field trajectories. The metrics fall into six classes. A "simple" coordinate system from each class is selected as representative. Three of these systems are rectangular Minkowski coordinates, pseudocylindrical ("accelerating") coordinates, and rotating coordinates. The remaining three appear to be new coordinate types which will be useful in exploring coordinate-dependent effects in quantum field theory. © 1982 American Institute of Physics.