Static cylindrically symmetric spacetimes

Details Static cylindrically symmetric spacetimes Static cylindrically symmetric spacetimes

2006-04-12

arxiv.org/abs/gr-qc/0604059v4

Class.Quant.Grav.24:2253-2270,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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Scientific paper

10.1088/0264-9381/24/9/007

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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