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TitleMatching the Linet-Tian spacetime with conformally flat cylindrically symmetric sources
Author(s)Brito, Irene
Silva, M. F. A. da
Mena, Filipe C.
Santos, N. O.
Issue date2014
JournalSpringer Proceedings in Mathematics and Statistics
Abstract(s)We consider static cylindrically symmetric spacetimes with a cosmological constant Lambda and obtain conformally flat solutions of the Einstein field equations. For these interior solutions we study the matching problem with the exterior Linet-Tian spacetime ([2],[3]), which is a generalization of the Levi-Civita spacetime including a cosmological constant, and show that the matching is possible if Lambda > 0. This work generalizes the results obtained in [1] for the Lambda = 0 case, where it was proved that static cylindrically symmetric sources matched to the Levi-Civita spacetime do not admit conformally flat solutions. The only known interiors to the Linet-Tian spacetime are the dust Einstein static spacetime [4] and static cylindrical shell sources [5].
TypeConference paper
Publisher versionThe original publication is available at
AccessRestricted access (UMinho)
Appears in Collections:CMAT - Artigos em atas de conferências e capítulos de livros com arbitragem / Papers in proceedings of conferences and book chapters with peer review

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