The shape of a rapidly rotating polytrope with index unity [SSA]

http://arxiv.org/abs/1701.05782


We show that the solutions obtained in the paper `An exact solution for arbitrarily rotating gaseous polytropes with index unity’ by Kong, Zhang, and Schubert represent only approximate solutions of the free-boundary Euler-Poisson system of equations describing uniformly rotating, self-gravitating polytropes with index unity. We discuss the quality of such solutions as approximations to the rigidly rotating equilibrium polytropic configurations.

Read this paper on arXiv…

J. Knopik, P. Mach and A. Odrzywolek
Mon, 23 Jan 17
16/55

Comments: 5 pages, 3 figures, to appear in MNRAS