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In this paper, we classify the nondegenerate ruled surfaces in thethree-dimensional Lorentz-Minkowski space that are homothetic self-similarsolutions for the inverse mean curvature flow. This classification shows theexistence of two classes of non-cylindrical homothetic solitons: one withlightlike rulings and another one with non-lightlike rulings.

Classification of ruled surfaces as homothetic self-similar solutions of the inverse mean curvature flow in the Lorentz-Minkowski 3-space