Characterization of integral curves of a linear vector field in Lorentz 3-space

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dc.contributor.authorTurhan, Tunahan
dc.contributor.authorAyyildiz, Nihat
dc.date.accessioned2024-02-23T14:26:26Z
dc.date.available2024-02-23T14:26:26Z
dc.date.issued2016
dc.departmentNEÜen_US
dc.description.abstractWe 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.en_US
dc.identifier.doi10.1142/S0219887816500730
dc.identifier.issn0219-8878
dc.identifier.issn1793-6977
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-84966300036en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1142/S0219887816500730
dc.identifier.urihttps://hdl.handle.net/20.500.12452/14183
dc.identifier.volume13en_US
dc.identifier.wosWOS:000378942500005en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofInternational Journal Of Geometric Methods In Modern Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectIntegral Curveen_US
dc.subjectLorentz Spaceen_US
dc.subjectSkew-Symmetric Matrixen_US
dc.subjectVector Fielden_US
dc.titleCharacterization of integral curves of a linear vector field in Lorentz 3-spaceen_US
dc.typeArticleen_US

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