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- W1840804050 abstract "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 an energy estimate the existence of globally regular solutions which coincide with the Schwarzschild--anti-deSitter solution in the exterior vacuum region. We also construct solutions with a Schwarzschild singularity at the center regardless of the sign of $Lambda$. For all solutions considered, the energy density and the pressure components have bounded support. Finally, we point out a straightforward method for obtaining a large class of global, nonvacuum spacetimes with topologies $mathbb Rtimes S^3$ and $mathbb Rtimes S^2times mathbb R$ which arise from our solutions as a result of using the periodicity of the Schwarzschild--deSitter solution. A subclass of these solutions contains black holes of different masses." @default.
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- W1840804050 date "2015-01-01" @default.
- W1840804050 modified "2023-09-30" @default.
- W1840804050 title "Static Solutions to the Einstein--Vlasov System with a Nonvanishing Cosmological Constant" @default.
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- W1840804050 doi "https://doi.org/10.1137/140999608" @default.
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