General Relativity: An Introduction for Physicists · Problem 12.2

Further spherically symmetric geometries — Hobson, Efstathiou & Lasenby

Physics · gravitational-binding-energy

Problem

Calculate the gravitational binding energy

E = \widetilde{M} - M

of a spherical star of constant density

\rho

and coordinate radius

R

. Compare your answer with the corresponding Newtonian result and interpret your findings physically.