Gravitational energy ($E_{\mathrm{grav}}$)

The potential energy associated with gravitational interactions. For a self-gravitating spherical body with a fixed dimensionless density profile, $E_{\mathrm{grav}}=-CG{M}^2/R$ for a positive profile-dependent constant $C$; a uniform sphere has $C=3/5$. The $R^{-1}$ scaling competes with the same radius dependence of ultrarelativistic electron degeneracy pressure in a white dwarf, giving the Chandrasekhar mass scale.