Nonlinear Dynamical Stability of Newtonian Rotating White Dwarfs and Supermassive Stars

Details Nonlinear Dynamical Stability of Newtonian Rotating White Dwarfs and Supermassive Stars Nonlinear Dynamical Stability of Newtonian Rotating White Dwarfs and Supermassive Stars

2007-10-16

arxiv.org/abs/0710.3150v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1007/s00220-008-0569-3

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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