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