On diameters of uniformly rotating stars

Mathematics – Mathematical Physics

Scientific paper

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Scientific paper

In this paper we study the compressible fluid model of uniformly rotating starts. It was proved in [Li] that for a given mass, there exists an equilibrium solution to the problem if the angular velocity is less than a certain constant. On the other hand for large angular velocities there is no equilibrium solution. In this paper we give an a-priori bound on diameters and the number of connected components of white dwarfs.

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