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Static Solutions to the Einstein--Vlasov System with a Nonvanishing Cosmological Constant
We construct spherically symmetric static solutions to the Einstein--Vlasov system with nonvanishing cosmological constant $\Lambda$. The results are divided as follows. For small $\Lambda>0$ we show the existence of globally regular solutions which coincide with the Schwarzschild--deSitter solution in the exterior of the matter regions. For $\Lambda<0$ we show via …