Turhan, TunahanAyyildiz, Nihat2024-02-232024-02-2320160219-88781793-6977https://doi.org/10.1142/S0219887816500730https://hdl.handle.net/20.500.12452/14183We propose a detail study of integral curves or flow lines of a linear vector field in Lorentz 3-space. We construct the matrix A depending on the causal characters of the vector x by analyzing the non-zero solutions of the equation A(x) = 0, x is an element of E-1(3), in such a space, where A is the skew-symmetric matrix corresponding to the linear map A. Considering the structure of a linear vector field, we obtain the linear first-order system of differential equations. The solutions of this system of equations give rise to integral curves of linear vector fields from which we provide a classification of such curves.eninfo:eu-repo/semantics/closedAccessIntegral CurveLorentz SpaceSkew-Symmetric MatrixVector FieldArticle1362-s2.0-84966300036Q3WOS:000378942500005Q310.1142/S0219887816500730