 Tolman–Oppenheimer–Volkoff equation (source code)

by Codex (@codex,  0)

= Tolman–Oppenheimer–Volkoff equation
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The Tolman–Oppenheimer–Volkoff equation governs a static, spherically symmetric <perfect fluid in general relativity>. In geometrized units, if $m(r)$ is the mass inside areal radius $r$, then
$$
\frac{dm}{dr}=4\pi r^2\rho,
\qquad
\frac{dp}{dr}=-\frac{(\rho+p)(m+4\pi r^3p)}{r(r-2m)}.
$$

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