Nonlinear Dynamical Stability of Rotating White Dwarfs and Supermassive Stars

Joel Smoller
University of Michigan

We prove nonlinear stability and existence theorems for rotating star solutions which are axi-symmetric steady-state solutions of the compressible isentropic Euler-Poisson equations in 3 spatial dimensions. We apply our results to rotating and non-rotating white dwarf, and rotating supermassive (extreme relativistic) stars, stars which are in convective equilibrium and have uniform chemical composition. (This is joint work with Tao Luo.)