The Clairaut's theorem on rotational surfaces in pseudo-Euclidean 4-space with index 2

In this study, the Clairaut's theorem on the hyperbolic and elliptic rotational surfaces generated by using a curve and matrices are expressed in $E_{2}^{4}$. Therefore, the time-like geodesic curves are used to generate these surfaces of rotation in 4-dimensional semi-Euclidean space. Also, in these surfaces of rotation, the geodesics are completely characterized according to results of the Clairaut's theorem.