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In this work, we study some classes of rotational surfaces in thepseudo-Euclidean space $\mathbb{E}^4_t$ with profile curves lying in2-dimensional planes. First, we determine all such surfaces in the Minkowski4-space $\mathbb{E}^4_1$ with pointwise 1-type Gauss map of the first kind andsecond kind. Then, we obtain rotational surfaces in $\mathbb{E}^4_2$ with zeromean curvature and having pointwise 1--type Gauss map of second kind.

On rotational surfaces in pseudo-Euclidean space $\mathbb{E}^4_t$ with pointwise 1-type Gauss map