General Relativity: An Introduction for Physicists · Problem 12.5

Further spherically symmetric geometries — Hobson, Efstathiou & Lasenby

Physics · newtonian-limit-gravitational-potential

Problem

Show that, in the Newtonian limit, the equation before (12.15) reduces to

\frac{d\Phi(r)}{dr} = \frac{Gm(r)}{r},

where

\Phi(r)

is the Newtonian gravitational potential.