General Relativity: An Introduction for Physicists · Problem 12.7

Further spherically symmetric geometries — Hobson, Efstathiou & Lasenby

Physics · newtonian-pressure-profile-uniform-density

Problem

In Newtonian gravity, obtain the expression for

p(r)

for a spherical star of uniform density

\rho

, central pressure

p_0

and radius

R

. Compare your result with that obtained in Exercise 12.6.