Spacelike and timelike normal curves in Minkowski space-time

Abstract

We define normal curves in Minkowski space-time. In particular, we characterize the spacelike normal curves in 𝐸^4_1 whose Frenet frame contains only non-null vector fields, as well as the timelike normal curves in 𝐸^4_1 , in terms of their curvature functions. Moreover, we obtain an explicit equation of such normal curves with constant curvatures.