Nonlinear Dynamical Stability of Newtonian Rotating White Dwarfs and Supermassive Stars
General Relativity and Quantum Cosmology
2014-08-04 v1 Mathematical Physics
math.MP
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]).
Keywords
Cite
@article{arxiv.0710.3150,
title = {Nonlinear Dynamical Stability of Newtonian Rotating White Dwarfs and Supermassive Stars},
author = {Tao Luo and Joel Smoller},
journal= {arXiv preprint arXiv:0710.3150},
year = {2014}
}