"Information Paradox" and Schwarzschildian geodesics

Abstract

We show that the "Information Paradox" follows from inappropriate considerations on the geodesics of a Schwarzschildian manifold created by a gravitating point-mass. In particular, we demonstrate that the geometric differential equation which gives the radial coordinate as a function of the angular coordinate of the geodesics does not represent fully all the consequences following from the metric tensor. We remark that: i) it does not yield the conditions characterizing the circular orbits; (this fact has been ignored in the previous literature); ii) it "neglects" the space region in which the radial coordinate is minor or equal to twice the mass of the gravitating point (in suitable units of measure).