Nonlinear Dynamical Stability of Newtonian Rotating White Dwarfs and Supermassive Stars

TL;DR

This paper establishes nonlinear stability and existence results for rotating white dwarfs and supermassive stars modeled by the Euler-Poisson equations, extending previous work on stellar equilibrium.

Contribution

It provides the first rigorous proofs of nonlinear stability for axi-symmetric rotating star solutions in three dimensions, including white dwarfs and supermassive stars.

Findings

Proved nonlinear stability of rotating white dwarfs.

Established existence of rotating supermassive star solutions.

Applied results to stars in convective equilibrium with uniform composition.

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]).