On axisymmetric and stationary solutions of the self-gravitating Vlasov system
Journal article, 2016

Axisymmetric and stationary solutions are constructed to the Einstein-Vlasov and Vlasov-Poisson systems. These solutions are constructed numerically, using finite element methods and a fixed-point iteration in which the total mass is fixed at each step. A variety of axisymmetric stationary solutions are exhibited, including solutions with toroidal, disk-like, spindle-like, and composite spatial density configurations, as are solutions with non-vanishing net angular momentum. In the case of toroidal solutions, we show for the first time, solutions of the Einstein-Vlasov system which contain ergoregions.

matter

existence

spacetimes

relativistic stellar-systems

stability

Einstein-Vlasov

general-relativity

Vlasov-Poisson

rotation

spindle singularities

ergoregion

models

axisymmetric stationary solutions

Physics

galaxies

Astronomy & Astrophysics

Author

Ellery Ames

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Håkan Andreasson

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Anders Logg

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Classical and Quantum Gravity

0264-9381 (ISSN)

Vol. 33 15 no. 155008- 155008

Subject Categories

Astronomy, Astrophysics and Cosmology

DOI

10.1088/0264-9381/33/15/155008

More information

Latest update

4/5/2022 7