A Remark on the Geometry of Uniformly Rotating Stars

Abstract

In this paper we classify the free boundary associated to equilibrium configurations of compressible, self-gravitating fluid masses, rotating with constant angular velocity. The equilibrium configurations are all critical points of an associated functional and not necessarily minimizers. Our methods also apply to alternative models in the literature where the angular momentum per unit mass is prescribed. The typical physical model our results apply to is that of uniformly rotating white dwarf stars.

References in corpus (2)

• Cross-shaped and Degenerate Singularities in an Unstable Elliptic Free Boundary Problem
• Uniform Regularity close to Cross Singularities in an Unstable Free Boundary Problem

Cited by in corpus (5)

• On slowly rotating axisymmetric solutions of the Euler-Poisson equations
• On Rotating Axisymmetric Solutions of the Euler-Poisson Equations
• A Model of Radiational Gaseous Stars
• On the Expanding Configurations of Viscous Radiation Gaseous Stars: Isentropic and Thermodynamic Models
• Variational rotating solutions to non-isentropic Euler-Poisson equations with prescribed total mass