{ "dc.contributor.author": "Santaló, Lluís" , "dc.date.accessioned": "2009-10-19T14:38:09Z" , "dc.date.available": "2009-10-19T14:38:09Z" , "dc.date.created": "1982" , "dc.identifier.citation": "Santaló, L. (1982). Geodesics in Gödel-Synge spaces. Tensor N.S, 37, 173-178" , "dc.identifier.uri": "http://hdl.handle.net/10256.2/10693" , "dc.description.abstract": "Our purpose is to study the geodesic lines in the form: ds2=dx2 + 2h(x4)dx1dx2 + g(x4)dx22 – dx23 – dx24, and to compare with the work of S. Chandrasekhar and J. P. Wright on geodesics in Gödel’s universe. We will give, first, an isometric embedding of the form ds2=dx2 + 2h(x4)dx1dx2 + g(x4)dx22 – dx23 – dx24 in a pseudo Euclidean space of 10 dimensions, from which some properties on closed time-like curves can be deduced. Finally, we give an isometric embedding in a 10-dimensional pseudo Euclidean space of Gödel’s space in cylindrical coordinates and deduce some consequences" , "dc.format.mimetype": "application/pdf" , "dc.language.iso": "eng" , "dc.relation.ispartof": "Tensor N.S, vol. 37, p. 173-178" , "dc.relation.ispartofseries": "Publicacions" , "dc.rights": "Tots els drets reservats" , "dc.subject": "Geodèsiques (Matemàtica)" , "dc.subject": "Geometria diferencial" , "dc.subject": "Geodesics (Mathematics)" , "dc.subject": "Geometry, Differencial" , "dc.title": "Geodesics in Gödel-Synge spaces" , "dc.type": "info:eu-repo/semantics/article" , "dc.rights.accessRights": "info:eu-repo/semantics/openAccess" }