Black Holes? Unified Theory between the "Fifth Force" and the "Gravitational Force" in General Relativity

If we consider the "Fifth force" as an external force of the classical newtonian gravitational field introduced in the Theory of General Relativity, we will obtain the new modified Einstiens' field equations. We unify the "Fifth Force" with the "Gravitational Force" applying the Theory of General Relativity. The result is that probably the "new modified Einstein's field equations" will not present any kind of singularity with the presence of the "Anti-Gravity effect" of the "Fifth Force". Peculiar phenomenologies on stars and galaxies nucleus, the expansion or not of the universe can be fairly treated with the new modified Einstein's field equations. It is well known that General Theory of Relativity is a geometric theory of gravitation and the curvature of spacetime is related to the energy and momentum. This relation is specified by Einstein's equations. The experimental tests are numerous and, therefore, it is impossible to question its validity but this does not prevent us from proposing new ideas. In this work, we want to introduce an "anti-gravitational effect", of the Fifth Force, not considering the universal gravitational constant. In this way we obtain modified field equations. The aim of the paper is to observe that, if we introduce this fifth force, the principle of the equivalence is violated and, probably, there are never singularities in the metric when we solve the field equations. Maybe the Schwarzschild radius for a symmetrical static spherical star doesn't compare: to be proved with "computational mathematics". Throughout the paper, the symbols refer to the textbook of Weinberg, considering even the speed of light as c=1.