Consider int(E.dA)=q/e, guass law relating the electric field to the charge enclosed. One can also derive (using the more mathematical version of guass' law - involving the double integral) this same formuala for a graviational field. Here the permitivitty constant would be replaced by another arbitrary constant. Does anybody know where one can obtain the derivation to Coulombs law, F = 1/4pi E qq/r^2, more specifically relating to the 'electrostatic constant' k = 1/4pi E? Considering that the electric and gravitational fields are similar in terms of flux and field lines, wouldn't there be similar equations for gravity as maxwell's laws describe EM. Is it possible for the gravitational field to induce another field?