In a recent paper we have analyzed the Spinor Theory of Gravity (STG) which is based on the intimate relation between Fermi (weak) interaction and gravity. We presented the hypothesis that the effect of matter upon the metric that represents gravitational interaction in General Relativity is an effective one. This lead us to consider gravitation to be the result of the interaction of two neutral spinorial fields (G-neutrinos) $Psi_g$ and $Omega_g$ with all kinds of matter and energy through the generation of such effective metric. In other words, the universal metric that represents gravitational interaction in the framework of General Relativity is constructed with the weak currents associated to $Psi_g$ and $Omega_g$. In the first paper we have shown that when only one spinor exists, the effective metric of a static and spherically symmetric configuration is identical to the Schwarzschild geometry of GR. In the present paper we go one step further and consider the case in which the field $Psi_g$ has a self-interaction. The solution of a static and spherically symmetric configuration is distinct from the previous one. This new solution presents another horizon that we compare with the case of Schwarzschild.
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