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dc.contributor.authorDa Silva, M. F A-
dc.contributor.authorHerrera, L.-
dc.contributor.authorPaiva, F. M.-
dc.contributor.authorSantos, N. O.-
dc.identifier.citationJournal of Mathematical Physics, v. 36, n. 7, p. 3625-3631, 1995.-
dc.description.abstractTwo exact solutions of Einstein's field equations corresponding to a cylinder of dust with net zero angular momentum are considered. In one of the cases, the dust distribution is homogeneous, whereas in the other, the angular velocity of dust particles is constant [Nuovo Cimento B 21, 64 (1974)]. For both solutions the junction conditions to the exterior static vacuum Levi-Civita space-time were studied. From this study we find an upper limit for the energy density per unit length σ of the source equals 1/4 for both cases. Thus the homogeneous cluster provides another example [Class. Quant. Grav. 8, 727 (1991); J. Math. Phys. 27, 152 (1980)] where the limit of σ is 1/4. It was also found that the cluster of homogeneous dust has a superior limit for its radius, depending on the constant volumetric energy density ρ 0. © 1995 American Institute of Physics.en
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)-
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)-
dc.titleThe Levi-Civita space-timeen
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)-
dc.contributor.institutionCNPq-Observatório Nacional-
dc.contributor.institutionInstituto Venezolano de Investigaciones Científicas-
dc.description.affiliationDepartamento de Física e Química Universidade Estadual Paulista, Av. Ariberto Pereira da Cunha 333, 12500, Guaratinguetá, SP-
dc.description.affiliationDepartamento de Astrofísica CNPq-Observatório Nacional, Rua General José Cristino 77, 20921-400 Rio de Janeiro-RJ-
dc.description.affiliationDepartamento de Física Universidade Central de Venezuela Instituto Venezolano de Investigaciones Científicas, Caracas-
dc.description.affiliation, Apartado 80793, Caracas 1080A-
dc.description.affiliationUnespDepartamento de Física e Química Universidade Estadual Paulista, Av. Ariberto Pereira da Cunha 333, 12500, Guaratinguetá, SP-
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dc.relation.ispartofJournal of Mathematical Physics-
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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