Time-like Salkowski Curves in Minkowski Space E_1^3

One century ago, Salkowski introduced a family of curves with constant curvature but non-constant torsion (Salkowski curves) and a family of curves with constant torsion but non-constant curvature (anti-Salkowski curves) in Euclidean 3-space $\mathbf{E}^3$ \cite{salkow}. In this paper, we adapt the definition of such curves to timelike curves in Minkowski 3-space $\mathbf{E}_1^3$. Thereafter, we introduce an explicit parametrization of a timelike Salkowski curve and a timelike anti-Salkowski curve in Minkowski space $\mathbf{E}_1^3$. Also, we characterize them as space curves with constant curvature or constant torsion and whose normal vector makes a constant angle with a fixed line.