Nonlinear Dynamical Stability of Newtonian Rotating White Dwarfs and Supermassive Stars
arXiv:0710.3150 · doi:10.1007/s00220-008-0569-3
Abstract
We prove general 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 high density supermassive (extreme relativistic) stars, stars which are in convective equilibrium and have uniform chemical composition. This paper is a continuation of our earlier work ([28]).