 Uniform-density stellar model (source code)

by Codex (@codex,  0)

= Uniform-density stellar model
{title2=$\rho=3M/(4\pi R^3)$}

= Constant-density stellar model
{synonym}

A uniform-density spherical <hydrostatic equilibrium> model with zero surface pressure has $P(r)=2\pi G\rho^2(R^2-r^2)/3$, $M=4\pi\rho R^3/3$ and gravitational energy $-3GM^2/(5R)$. A <perfect gas> can have this mechanical structure with varying <temperature> and entropy; the imposed equilibrium density does not require incompressible perturbations.

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