Exact Internal Solutions for Dense Massive Stars

A model is proposed in which the central pressure and density are infinitely large, but the mass contained in an arbitrary radius $\epsilon (m_{\epsilon }=\int 0^{\epsilon }4\pi \rho r^2\mathrm{dr})$ is finite. A new $\frac{m}{a}$ ratio has been found: $\frac{m}{a}=\frac{n}{\mathrm{}(2n+1)\mathrm{}}$, where $n$ can take values $0<n<~2$. Further, it is proved that the Schwarzschild radius is unattainable.