2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/176130We 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 acknowledgementGeneral Relativity and Quantum Cosmologytext