Please use this identifier to cite or link to this item:
|Title:||Matching the Linet-Tian spacetime with conformally flat cylindrically symmetric sources|
Silva, M. F. A. da
Mena, Filipe C.
Santos, N. O.
|Journal:||Springer 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 (,), 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  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  and static cylindrical shell sources .|
|Publisher version:||The original publication is available at www.springerlink.com: http://link.springer.com/chapter/10.1007/978-3-642-40157-2_72#|
|Access:||Restricted access (UMinho)|
|Appears in Collections:|
Files in This Item:
|ERE2012||97,18 kB||Adobe PDF||View/Open Request a copy!|