@article{14409, author = {Ellery Ames and H{\r a}kan Andr{\'e}asson and Anders Logg}, title = {On axisymmetric and stationary solutions of the self-gravitating Vlasov system}, abstract = {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.}, year = {2016}, journal = {Classical and Quantum Gravity}, volume = {33}, number = {15}, publisher = {IOPscience}, }