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arXiv · 0710.3150

Nonlinear Dynamical Stability of Newtonian Rotating White Dwarfs and Supermassive Stars

Tao Luo·Joel Smoller
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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]).

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Tao Luo, Joel Smoller. 2007-10-16. Nonlinear Dynamical Stability of Newtonian Rotating White Dwarfs and Supermassive Stars. https://doi.org/10.1007/s00220-008-0569-3

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