Central pressure of a constant-density relativistic star
= Central pressure of a constant-density relativistic star
The <Interior Schwarzschild metric> has central pressure
$$
p(0)=\rho
\frac{1-\sqrt{1-2M/R}}
{3\sqrt{1-2M/R}-1}.
$$
It diverges when $M/R=4/9$, the limiting compactness in <Buchdahl's theorem>.