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
relativistic stellar-systems
models
spacetimes
stability
existence
rotation
Einstein-Vlasov
Physics
Vlasov-Poisson
Astronomy & Astrophysics
spindle singularities
galaxies
axisymmetric stationary solutions
ergoregion
general-relativity
Author
Ellery Ames
University of Gothenburg
Chalmers, Mathematical Sciences, Mathematics
Håkan Andreasson
University of Gothenburg
Chalmers, Mathematical Sciences, Mathematics
Anders Logg
Chalmers, Mathematical Sciences, Mathematics
University of Gothenburg
Classical and Quantum Gravity
0264-9381 (ISSN)
Vol. 33 15 no. 155008-Subject Categories (SSIF 2011)
Astronomy, Astrophysics and Cosmology
DOI
10.1088/0264-9381/33/15/155008