Dominant-energy compactness bound for an incompressible star
= Dominant-energy compactness bound for an incompressible star
{title2=$\frac MR\leq\frac38$}
The <dominant energy condition> for the <Interior Schwarzschild metric> reduces to its largest pressure satisfying $p_c\leq\rho$. Substitution of the exact central pressure gives $\sqrt{1-2M/R}\geq1/2$, hence $M/R\leq3/8$. Equality has finite central pressure and is allowed by the non-strict condition.