[en] A nonlinear scalar field's short range is considered, in the lights of general relativity. the pseudovirial theorem of Rosen is found to be related to the principle of equivalence, in the weak field limit. A self-interaction additive term (lambda)S⁴ is included in the Lagrangean, which permits nonsingular and source-free systerms. A family of static, spherically symmetric solutions is obtained, with a nonlinear spectrum of masses. The gravitational potentials tend to the Schwarzschild ones at infinity, while the scalar field presents Yukawa-type asymptotic behaviour