General Relativity: An Introduction for Physicists · Problem 12.4

Further spherically symmetric geometries — Hobson, Efstathiou & Lasenby

Physics · newtonian-hydrostatic-equilibrium

Problem

In Newtonian gravity, show directly that the equation for hydrostatic equilibrium is dp(r)dr=−Gm(r)ρ(r)r2.\frac{dp(r)}{dr} = -\frac{Gm(r)\rho(r)}{r^2}.

Browse the problem library