Static cylindrically symmetric spacetimes
Journal article, 2007

We prove the existence of static solutions to the cylindrically symmetric Einstein-Vlasov system, and we show that the matter cylinder has finite extension in two of the three spatial dimensions. 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 by Bicak et al (2004 Class. Quantum Grav. 21 1583). We also obtain this result for the Vlasov-Poisson system.

VLASOV-EINSTEIN SYSTEM

LIMIT

Author

Mikael Fjällborg

University of Gothenburg

Chalmers, Mathematical Sciences

Classical and Quantum Gravity

0264-9381 (ISSN)

Vol. 24 9 2253-2269

Subject Categories

Mathematics

DOI

10.1088/0264-9381/24/9/007

More information

Created

10/6/2017