I'm studing Gauss law for gravitational field flux for a mass that has spherical symmetry. Maybe it is an obvious question but what are exactly the propreties of a spherical simmetric body? Firstly does this imply that the body in question must be a sphere? Secondly is it correct to interpret the definition as follows? For any element of the body of mass [itex]dm[/itex] and volume [itex]dV[/itex] at a distance [itex]r[/itex] from the center of the body, there exists another identical element [itex]dm[/itex], [itex]dV[/itex] at the same distance[itex]r[/itex from the center of the body.