Expanding solutions near unstable Lane-Emden stars

Ming Cheng, Xing Cheng, Zhiwu Lin

We consider the compressible Euler-Poisson equations for polytropes $P(\ddot{I})=K\ddot{I}{}^3$ with ${\hat{I}}^3\in \left(\frac{6}{5},\frac{4}{3}\right]$ and the white dwarf stars. For $γ=\frac{4}{3}…