Interior Schwarzschild metric
= Interior Schwarzschild metric
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The interior Schwarzschild metric is the exact static solution for a spherical fluid of constant density. If the star has mass $M$ and radius $R$, its pressure is
$$
p(r)=\rho
\frac{\sqrt{1-2Mr^2/R^3}-\sqrt{1-2M/R}}
{3\sqrt{1-2M/R}-\sqrt{1-2Mr^2/R^3}}.
$$
= Interior Schwarzschild solution
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