This paper aims to show a possibility of the existence of super-massive compact objects with radii less than the Schwarzschild ones, which is one of the principal consequences of the author's geodesic-invariant gravitation equations. [Ann. Phys. (Berlin) , v. 17, p. 28 (2008)]. The physical interpretation of solutions of the equations is based on the conclusion that only an aggregate "space-time geometry + used reference frame" has a physical sense.