|Authors||E. Ames, H. Andréasson and A. Logg|
|Title||On axisymmetric and stationary solutions of the self-gravitating Vlasov system|
|Project(s)||No Simula project|
|Publication Type||Journal Article|
|Year of Publication||2016|
|Journal||Classical and Quantum Gravity|
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.