Spacelike and timelike normal curves in Minkowski space-time

Abstract

We define normal curves in Minkowski space-time E41. In particular, we characterize the spacelike normal curves in E41 whose Frenet frame contains only non-null vector fields, as well as the timelike normal curves in E41, in terms of their curvature functions. Moreover, we obtain an explicit equation of such normal curves with constant curvatures.