Die u:cris Detailansicht:

Static solutions to the Einstein-Vlasov system with a nonvanishing cosmological constant

Autor(en)
Hakan Andreasson, David Fajman, Maximilian Thaller
Abstrakt

We construct spherically symmetric static solutions to the Einstein-Vlasov system with nonvanishing cosmological constant Λ. The results are divided as follows. For small Λ > 0 we show the existence of globally regular solutions which coincide with the Schwarzschild-deSitter solution in the exterior of the matter regions. For Λ < 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 Λ. 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 ℝ × S3 and ℝ × S2 × 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.

Organisation(en)
Gravitationsphysik
Externe Organisation(en)
University of Gothenburg, Chalmers University of Technology
Journal
SIAM Journal on Mathematical Analysis
Band
47
Seiten
2657-2688
Anzahl der Seiten
32
ISSN
0036-1410
DOI
https://doi.org/10.1137/140999608
Publikationsdatum
2015
Peer-reviewed
Ja
ÖFOS 2012
103036 Theoretische Physik, 103019 Mathematische Physik
Schlagwörter
ASJC Scopus Sachgebiete
Computational Mathematics, Analysis, Applied Mathematics
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/4f5b9ead-7b9e-40e9-a7e7-5b0ed6da307f