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Static cylindrically symmetric spacetimes

Mikael Fjallborg
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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.

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Mikael Fjallborg. 2007-03-04. Static cylindrically symmetric spacetimes. https://doi.org/10.1088/0264-9381%2F24%2F9%2F007

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