Static cylindrically symmetric spacetimes
arXiv:gr-qc/0604059 · doi:10.1088/0264-9381/24/9/007
Abstract
We prove existence of static solutions to the cylindrically symmetric Einstein-Vlasov system, and we show that the matter cylinder has finite extension. The same results are also proved for a quite general class of equations of state for perfect fluids coupled to the Einstein equations, extending the class of equations of state considered in \cite{BL}. We also obtain this result for the Vlasov-Poisson system.
Added acknowledgement